656700007656 has 128 divisors (see below), whose sum is σ = 2080412559360. Its totient is φ = 167775148800.

The previous prime is 656700007631. The next prime is 656700007673.

656700007656 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×656700007656² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2800036 + ... + 3025491.

It is an arithmetic number, because the mean of its divisors is an integer number (16253223120).

Almost surely, 2^656700007656 is an apocalyptic number.

656700007656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

656700007656 is an abundant number, since it is smaller than the sum of its proper divisors (1423712551704).

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

656700007656 is a wasteful number, since it uses less digits than its factorization.

656700007656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825615 (or 5825611 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

It can be divided in two parts, 65670000 and 7656, that added together give a palindrome (65677656).

The spelling of 656700007656 in words is "six hundred fifty-six billion, seven hundred million, seven thousand, six hundred fifty-six".