656628826656 has 96 divisors (see below), whose sum is σ = 1898602288128. Its totient is φ = 197046570240.

The previous prime is 656628826631. The next prime is 656628826661.

656628826656 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×656628826656² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2909716 + ... + 3127251.

It is an arithmetic number, because the mean of its divisors is an integer number (19777107168).

Almost surely, 2^656628826656 is an apocalyptic number.

656628826656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

656628826656 is an abundant number, since it is smaller than the sum of its proper divisors (1241973461472).

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

656628826656 is a wasteful number, since it uses less digits than its factorization.

656628826656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037094 (or 6037086 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 66.

The spelling of 656628826656 in words is "six hundred fifty-six billion, six hundred twenty-eight million, eight hundred twenty-six thousand, six hundred fifty-six".