256546733706720 has 144 divisors (see below), whose sum is σ = 875475593712720. Its totient is φ = 68411691436032.

The previous prime is 256546733706691. The next prime is 256546733706743. The reversal of 256546733706720 is 27607337645652.

256546733706720 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 467 + 33 + 70 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133047732 + ... + 134962188.

It is an arithmetic number, because the mean of its divisors is an integer number (6079691623005).

Almost surely, 2^{256546733706720} is an apocalyptic number.

256546733706720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256546733706720 is an abundant number, since it is smaller than the sum of its proper divisors (618928860006000).

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

256546733706720 is a wasteful number, since it uses less digits than its factorization.

256546733706720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007537 (or 2007526 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 63.

The spelling of 256546733706720 in words is "two hundred fifty-six trillion, five hundred forty-six billion, seven hundred thirty-three million, seven hundred six thousand, seven hundred twenty".