256724102170464 has 48 divisors (see below), whose sum is σ = 674224292855232. Its totient is φ = 85533618227328.

The previous prime is 256724102170447. The next prime is 256724102170499. The reversal of 256724102170464 is 464071201427652.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641712994 + ... + 642112929.

It is an arithmetic number, because the mean of its divisors is an integer number (14046339434484).

Almost surely, 2^{256724102170464} is an apocalyptic number.

256724102170464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256724102170464 is an abundant number, since it is smaller than the sum of its proper divisors (417500190684768).

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

256724102170464 is a wasteful number, since it uses less digits than its factorization.

256724102170464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283828019 (or 1283828011 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 256724102170464 in words is "two hundred fifty-six trillion, seven hundred twenty-four billion, one hundred two million, one hundred seventy thousand, four hundred sixty-four".