656973248640 has 256 divisors, whose sum is σ = 2168249610240. Its totient is φ = 169024204800.

The previous prime is 656973248629. The next prime is 656973248651. The reversal of 656973248640 is 46842379656.

It is an interprime number because it is at equal distance from previous prime (656973248629) and next prime (656973248651).

It is a super-2 number, since 2×656973248640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 19684447 + ... + 19717793.

It is an arithmetic number, because the mean of its divisors is an integer number (8469725040).

Almost surely, 2^656973248640 is an apocalyptic number.

656973248640 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 656973248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084124805120).

656973248640 is an abundant number, since it is smaller than the sum of its proper divisors (1511276361600).

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

656973248640 is a wasteful number, since it uses less digits than its factorization.

656973248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33731 (or 33719 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 656973248640 in words is "six hundred fifty-six billion, nine hundred seventy-three million, two hundred forty-eight thousand, six hundred forty".