628790722560 has 2176 divisors, whose sum is σ = 3044034846720. Its totient is φ = 118908518400.

The previous prime is 628790722543. The next prime is 628790722577. The reversal of 628790722560 is 65227097826.

628790722560 is a `hidden beast` number, since 6 + 2 + 8 + 7 + 9 + 0 + 72 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (628790722543) and next prime (628790722577).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 628790722497 and 628790722506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8856207325 + ... + 8856207395.

Almost surely, 2^628790722560 is an apocalyptic number.

628790722560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628790722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522017423360).

628790722560 is an abundant number, since it is smaller than the sum of its proper divisors (2415244124160).

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

628790722560 is a wasteful number, since it uses less digits than its factorization.

628790722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 628790722560 in words is "six hundred twenty-eight billion, seven hundred ninety million, seven hundred twenty-two thousand, five hundred sixty".