656638306427376 has 1280 divisors, whose sum is σ = 2470921850880000. Its totient is φ = 165708495912960.

The previous prime is 656638306427309. The next prime is 656638306427443. The reversal of 656638306427376 is 673724603836656.

656638306427376 is a `hidden beast` number, since 6 + 56 + 6 + 3 + 83 + 0 + 6 + 427 + 3 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (656638306427309) and next prime (656638306427443).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5314566816 + ... + 5314690368.

It is an arithmetic number, because the mean of its divisors is an integer number (1930407696000).

Almost surely, 2^{656638306427376} 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 656638306427376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235460925440000).

656638306427376 is an abundant number, since it is smaller than the sum of its proper divisors (1814283544452624).

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

656638306427376 is a wasteful number, since it uses less digits than its factorization.

656638306427376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123724 (or 123698 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 72.

The spelling of 656638306427376 in words is "six hundred fifty-six trillion, six hundred thirty-eight billion, three hundred six million, four hundred twenty-seven thousand, three hundred seventy-six".