656755404480 has 672 divisors, whose sum is σ = 2837039385600. Its totient is φ = 142212962304.

The previous prime is 656755404401. The next prime is 656755404491. The reversal of 656755404480 is 84404557656.

656755404480 is a `hidden beast` number, since 6 + 5 + 6 + 7 + 554 + 0 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×656755404480² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8003017 + ... + 8084663.

It is an arithmetic number, because the mean of its divisors is an integer number (4221784800).

Almost surely, 2^656755404480 is an apocalyptic number.

656755404480 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 656755404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418519692800).

656755404480 is an abundant number, since it is smaller than the sum of its proper divisors (2180283981120).

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

656755404480 is a wasteful number, since it uses less digits than its factorization.

656755404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81706 (or 81683 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 656755404480 in words is "six hundred fifty-six billion, seven hundred fifty-five million, four hundred four thousand, four hundred eighty".