656744944680 has 640 divisors, whose sum is σ = 2445351068160. Its totient is φ = 156764160000.

The previous prime is 656744944663. The next prime is 656744944693. The reversal of 656744944680 is 86449447656.

It is a happy number.

656744944680 is a `hidden beast` number, since 6 + 5 + 6 + 74 + 49 + 446 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 936868330 + ... + 936869030.

It is an arithmetic number, because the mean of its divisors is an integer number (3820861044).

Almost surely, 2^656744944680 is an apocalyptic number.

656744944680 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 656744944680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222675534080).

656744944680 is an abundant number, since it is smaller than the sum of its proper divisors (1788606123480).

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

656744944680 is a wasteful number, since it uses less digits than its factorization.

656744944680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 656744944680 in words is "six hundred fifty-six billion, seven hundred forty-four million, nine hundred forty-four thousand, six hundred eighty".