656374392960 has 768 divisors, whose sum is σ = 2512284284160. Its totient is φ = 144764928000.

The previous prime is 656374392941. The next prime is 656374392967. The reversal of 656374392960 is 69293473656.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 656374392894 and 656374392903.

It is not an unprimeable number, because it can be changed into a prime (656374392967) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 214429830 + ... + 214432890.

It is an arithmetic number, because the mean of its divisors is an integer number (3271203495).

Almost surely, 2^656374392960 is an apocalyptic number.

656374392960 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 656374392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256142142080).

656374392960 is an abundant number, since it is smaller than the sum of its proper divisors (1855909891200).

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

656374392960 is a wasteful number, since it uses less digits than its factorization.

656374392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 60.

The spelling of 656374392960 in words is "six hundred fifty-six billion, three hundred seventy-four million, three hundred ninety-two thousand, nine hundred sixty".