656320942080 has 1170 divisors, whose sum is σ = 2568656432034. Its totient is φ = 160271695872.

The previous prime is 656320942073. The next prime is 656320942091. The reversal of 656320942080 is 80249023656.

656320942080 is a `hidden beast` number, since 6 + 5 + 632 + 0 + 9 + 4 + 2 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 52554645504 + 603766296576 = 229248^2 + 777024^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 17738403822 + ... + 17738403858.

Almost surely, 2^656320942080 is an apocalyptic number.

656320942080 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 656320942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284328216017).

656320942080 is an abundant number, since it is smaller than the sum of its proper divisors (1912335489954).

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

656320942080 is an equidigital number, since it uses as much as digits as its factorization.

656320942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Multiplying 656320942080 by its sum of digits (45), we get a square (29534442393600 = 5434560²).

656320942080 divided by its sum of digits (45) gives a square (14584909824 = 120768²).

The spelling of 656320942080 in words is "six hundred fifty-six billion, three hundred twenty million, nine hundred forty-two thousand, eighty".