256679274734400 has 1008 divisors, whose sum is σ = 1013949015877440. Its totient is φ = 56615266713600.

The previous prime is 256679274734341. The next prime is 256679274734411. The reversal of 256679274734400 is 4437472976652.

It is a super-3 number, since 3×256679274734400³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13716619444 + ... + 13716638156.

Almost surely, 2^{256679274734400} is an apocalyptic number.

256679274734400 is a gapful number since it is divisible by the number (20) 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 256679274734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506974507938720).

256679274734400 is an abundant number, since it is smaller than the sum of its proper divisors (757269741143040).

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

256679274734400 is a wasteful number, since it uses less digits than its factorization.

256679274734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20792 (or 20770 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 66.

The spelling of 256679274734400 in words is "two hundred fifty-six trillion, six hundred seventy-nine billion, two hundred seventy-four million, seven hundred thirty-four thousand, four hundred".