656746945920 has 1024 divisors, whose sum is σ = 2648540160000. Its totient is φ = 152579801088.

The previous prime is 656746945871. The next prime is 656746945957. The reversal of 656746945920 is 29549647656.

656746945920 is a `hidden beast` number, since 6 + 56 + 74 + 69 + 459 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 408170076 + ... + 408171684.

It is an arithmetic number, because the mean of its divisors is an integer number (2586465000).

Almost surely, 2^656746945920 is an apocalyptic number.

656746945920 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 656746945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324270080000).

656746945920 is an abundant number, since it is smaller than the sum of its proper divisors (1991793214080).

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

656746945920 is a wasteful number, since it uses less digits than its factorization.

656746945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 656746945920 in words is "six hundred fifty-six billion, seven hundred forty-six million, nine hundred forty-five thousand, nine hundred twenty".