656411076864 has 81 divisors (see below), whose sum is σ = 1892707092003. Its totient is φ = 218790729216.

The previous prime is 656411076859. The next prime is 656411076889. The reversal of 656411076864 is 468670114656.

The square root of 656411076864 is 810192.

It is a perfect power (a square), and thus also a powerful number.

656411076864 is a `hidden beast` number, since 6 + 564 + 1 + 1 + 0 + 76 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×656411076864² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 656411076864.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38880777 + ... + 38897655.

Almost surely, 2^656411076864 is an apocalyptic number.

656411076864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

656411076864 is the 810192-nd square number.

It is an amenable number.

656411076864 is an abundant number, since it is smaller than the sum of its proper divisors (1236296015139).

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

656411076864 is an frugal number, since it uses more digits than its factorization.

656411076864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33780 (or 16884 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 656411076864 in words is "six hundred fifty-six billion, four hundred eleven million, seventy-six thousand, eight hundred sixty-four".