656060416704 has 1344 divisors, whose sum is σ = 2605206067200. Its totient is φ = 159638169600.

The previous prime is 656060416667. The next prime is 656060416709. The reversal of 656060416704 is 407614060656.

656060416704 is a `hidden beast` number, since 6 + 560 + 6 + 0 + 4 + 16 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×656060416704² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 656060416704.

It is not an unprimeable number, because it can be changed into a prime (656060416709) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2318234547 + ... + 2318234829.

Almost surely, 2^656060416704 is an apocalyptic number.

656060416704 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 656060416704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302603033600).

656060416704 is an abundant number, since it is smaller than the sum of its proper divisors (1949145650496).

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

656060416704 is a wasteful number, since it uses less digits than its factorization.

656060416704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 656060416704 in words is "six hundred fifty-six billion, sixty million, four hundred sixteen thousand, seven hundred four".