According to my old notes, the famine hits Constantinople in 536, then the plague in 541 (as bad as the Black Death of 1347, though it doesn’t get the same cachet in legend). Just as the plague begins to recede, the major earthquake of 557 destroys much of the city, and two years later, while the rubble is still being removed, the Huns (under Zabergan, not Attila) show up, but miraculously Belisarius is able to keep them from invading the city. And we think we have it bad.
Any or all of that can recur in our time. I suspect it will.