656028180864 has 384 divisors, whose sum is σ = 2369004019200. Its totient is φ = 176409944064.

The previous prime is 656028180859. The next prime is 656028180953. The reversal of 656028180864 is 468081820656.

656028180864 is a `hidden beast` number, since 6 + 560 + 2 + 8 + 18 + 0 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 656028180864.

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 47 ways as a sum of consecutive naturals, for example, 3612757 + ... + 3789995.

It is an arithmetic number, because the mean of its divisors is an integer number (6169281300).

Almost surely, 2^656028180864 is an apocalyptic number.

656028180864 is a gapful number since it is divisible by the number (64) 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 656028180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184502009600).

656028180864 is an abundant number, since it is smaller than the sum of its proper divisors (1712975838336).

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

656028180864 is a wasteful number, since it uses less digits than its factorization.

656028180864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177292 (or 177268 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 656028180864 in words is "six hundred fifty-six billion, twenty-eight million, one hundred eighty thousand, eight hundred sixty-four".