656420350464 has 400 divisors, whose sum is σ = 2079533604456. Its totient is φ = 205435699200.

The previous prime is 656420350441. The next prime is 656420350483. The reversal of 656420350464 is 464053024656.

It is a happy number.

656420350464 is a `hidden beast` number, since 6 + 5 + 64 + 20 + 3 + 504 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 637110468864 + 19309881600 = 798192^2 + 138960^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 381417124 + ... + 381418844.

Almost surely, 2^656420350464 is an apocalyptic number.

656420350464 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 656420350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039766802228).

656420350464 is an abundant number, since it is smaller than the sum of its proper divisors (1423113253992).

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

656420350464 is a wasteful number, since it uses less digits than its factorization.

656420350464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 656420350464 in words is "six hundred fifty-six billion, four hundred twenty million, three hundred fifty thousand, four hundred sixty-four".