Not only that, but the Arab raids mentioned yesterday also meant the loss to Constantinople of some important mines that were the source of precious metals like gold and silver. This created an economic crisis which needed addressing. Constantine re-issued a copper coin that had been created by Justinian, whose reign just over a century earlier (527 - 565) was looked on by many as a golden age. Constantine took further steps to re-organize the economy to the way it was in Justinian's time. Shortly after, Constantine bore a son whom he named Justinian II, further creating the symbolism of a return to a more glorious period in Byzantine history.
Counter-attacks in Syria and Egypt that reversed some of the progress of the Arab invasions further enhance the new emperor's reputation. The death of Umayyad Caliph Muawiyah I in 680, the architect of the Arab attempt to conquer Constantinople and its territories not long before, put an end to fears of Arabs for a long time.
He then took on a challenge his father had avoided: dealing with the Monothelitism controversy. Appealed to by the patriarchs and priests, he claimed it was not his decision, but that the church must rule on whether Jesus had one nature/energy/will or two. He wrote to Pope Donus in Rome to suggest an ecumenical council to decide the matter. By the time the letter reached Rome, Donus had died, but Pope Agatho agreed to the need and ordered synods throughout the West to confirm the West's belief in the matter. This culminated in a synod in Rome, after which Agatho sent emissaries to Constantinople.
Constantine called for the Third Council of Constantinople, which was also the Sixth Ecumenical Council (depicted above in the 12th century chronicle by Constantine Manasses). The emissaries from the pope met with the Patriarch of Constantinople and all the Byzantine bishops, and the matter was settled.
Constantine had two brothers, Heraclius and Tiberius. They had also been crowned co-emperors by their father, but Constantine decided that, if he were to die, he would rather be succeeded by his son. He had both brothers mutilated by slitting their noses. This physical deformity made them ineligible to rule. When he died on 10 July 685, Justinian II succeeded him at the age of 16.
But let's not summarize the Sixth Ecumenical Council in just a sentence or two. There's a little more to the story, including an attempt to bring someone back from the dead. Come back next time and I'll tell you.