656496058680 has 512 divisors, whose sum is σ = 2730288384000. Its totient is φ = 136315146240.

The previous prime is 656496058663. The next prime is 656496058693. The reversal of 656496058680 is 86850694656.

656496058680 is a `hidden beast` number, since 6 + 5 + 6 + 49 + 6 + 0 + 586 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186027156 + ... + 186030684.

It is an arithmetic number, because the mean of its divisors is an integer number (5332594500).

Almost surely, 2^656496058680 is an apocalyptic number.

656496058680 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 656496058680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365144192000).

656496058680 is an abundant number, since it is smaller than the sum of its proper divisors (2073792325320).

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

656496058680 is a wasteful number, since it uses less digits than its factorization.

656496058680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 656496058680 in words is "six hundred fifty-six billion, four hundred ninety-six million, fifty-eight thousand, six hundred eighty".