256027904064 has 189 divisors, whose sum is σ = 761082680397. Its totient is φ = 82286443008.

The previous prime is 256027903993. The next prime is 256027904081. The reversal of 256027904064 is 460409720652.

The square root of 256027904064 is 505992.

It is a perfect power (a square), and thus also a powerful number.

256027904064 is a `hidden beast` number, since 2 + 560 + 27 + 9 + 0 + 4 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134254822464 + 121773081600 = 366408^2 + 348960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 352170069 + ... + 352170795.

Almost surely, 2^256027904064 is an apocalyptic number.

256027904064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

256027904064 is the 505992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256027904064

256027904064 is an abundant number, since it is smaller than the sum of its proper divisors (505054776333).

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

256027904064 is an frugal number, since it uses more digits than its factorization.

256027904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 761 counting only the distinct ones).

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

The spelling of 256027904064 in words is "two hundred fifty-six billion, twenty-seven million, nine hundred four thousand, sixty-four".