256605467328 has 672 divisors, whose sum is σ = 910084032000. Its totient is φ = 68905396224.

The previous prime is 256605467303. The next prime is 256605467359. The reversal of 256605467328 is 823764506652.

256605467328 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 0 + 546 + 73 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 739496851 + ... + 739497197.

Almost surely, 2^256605467328 is an apocalyptic number.

256605467328 is a gapful number since it is divisible by the number (28) 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 256605467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455042016000).

256605467328 is an abundant number, since it is smaller than the sum of its proper divisors (653478564672).

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

256605467328 is a wasteful number, since it uses less digits than its factorization.

256605467328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 256605467328 in words is "two hundred fifty-six billion, six hundred five million, four hundred sixty-seven thousand, three hundred twenty-eight".