256701824064 has 252 divisors, whose sum is σ = 869955598668. Its totient is φ = 72140544000.

The previous prime is 256701824017. The next prime is 256701824087. The reversal of 256701824064 is 460428107652.

256701824064 is a `hidden beast` number, since 2 + 5 + 67 + 0 + 182 + 406 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68685926400 + 188015897664 = 262080^2 + 433608^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1647114 + ... + 1796214.

Almost surely, 2^256701824064 is an apocalyptic number.

256701824064 is a gapful number since it is divisible by the number (24) 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 256701824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434977799334).

256701824064 is an abundant number, since it is smaller than the sum of its proper divisors (613253774604).

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

256701824064 is a wasteful number, since it uses less digits than its factorization.

256701824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149194 (or 149174 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 256701824064 in words is "two hundred fifty-six billion, seven hundred one million, eight hundred twenty-four thousand, sixty-four".