626221779456 has 1280 divisors, whose sum is σ = 2296653004800. Its totient is φ = 147000655872.

The previous prime is 626221779389. The next prime is 626221779457. The reversal of 626221779456 is 654977122626.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 626221779396 and 626221779405.

It is not an unprimeable number, because it can be changed into a prime (626221779457) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3619778986 + ... + 3619779158.

It is an arithmetic number, because the mean of its divisors is an integer number (1794260160).

Almost surely, 2^626221779456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 626221779456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148326502400).

626221779456 is an abundant number, since it is smaller than the sum of its proper divisors (1670431225344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

626221779456 is a wasteful number, since it uses less digits than its factorization.

626221779456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The spelling of 626221779456 in words is "six hundred twenty-six billion, two hundred twenty-one million, seven hundred seventy-nine thousand, four hundred fifty-six".