656905606560 has 480 divisors, whose sum is σ = 2655584870400. Its totient is φ = 149806153728.

The previous prime is 656905606559. The next prime is 656905606579. The reversal of 656905606560 is 65606509656.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 656905606497 and 656905606506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40725217 + ... + 40741343.

It is an arithmetic number, because the mean of its divisors is an integer number (5532468480).

Almost surely, 2^656905606560 is an apocalyptic number.

656905606560 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 656905606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327792435200).

656905606560 is an abundant number, since it is smaller than the sum of its proper divisors (1998679263840).

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

656905606560 is a wasteful number, since it uses less digits than its factorization.

656905606560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16610 (or 16593 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 656905606560 in words is "six hundred fifty-six billion, nine hundred five million, six hundred six thousand, five hundred sixty".