64316417256 has 768 divisors, whose sum is σ = 232735104000. Its totient is φ = 16303472640.

The previous prime is 64316417251. The next prime is 64316417273. The reversal of 64316417256 is 65271461346.

It is not an unprimeable number, because it can be changed into a prime (64316417251) 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, 663055800 + ... + 663055896.

It is an arithmetic number, because the mean of its divisors is an integer number (303040500).

Almost surely, 2^64316417256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64316417256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116367552000).

64316417256 is an abundant number, since it is smaller than the sum of its proper divisors (168418686744).

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

64316417256 is a wasteful number, since it uses less digits than its factorization.

64316417256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

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

The spelling of 64316417256 in words is "sixty-four billion, three hundred sixteen million, four hundred seventeen thousand, two hundred fifty-six".