656497073232 has 640 divisors, whose sum is σ = 2678948536320. Its totient is φ = 148141301760.

The previous prime is 656497073227. The next prime is 656497073273. The reversal of 656497073232 is 232370794656.

656497073232 is a `hidden beast` number, since 6 + 56 + 497 + 0 + 73 + 2 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7306693 + ... + 7395995.

It is an arithmetic number, because the mean of its divisors is an integer number (4185857088).

Almost surely, 2^656497073232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656497073232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339474268160).

656497073232 is an abundant number, since it is smaller than the sum of its proper divisors (2022451463088).

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

656497073232 is a wasteful number, since it uses less digits than its factorization.

656497073232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89368 (or 89356 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 656497073232 in words is "six hundred fifty-six billion, four hundred ninety-seven million, seventy-three thousand, two hundred thirty-two".