256078934784 has 288 divisors, whose sum is σ = 829475640000. Its totient is φ = 77567164416.

The previous prime is 256078934779. The next prime is 256078934791. The reversal of 256078934784 is 487439870652.

256078934784 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 78 + 93 + 478 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3370042 + ... + 3445190.

It is an arithmetic number, because the mean of its divisors is an integer number (2880123750).

Almost surely, 2^256078934784 is an apocalyptic number.

256078934784 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 256078934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414737820000).

256078934784 is an abundant number, since it is smaller than the sum of its proper divisors (573396705216).

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

256078934784 is a wasteful number, since it uses less digits than its factorization.

256078934784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75220 (or 75200 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 256078934784 in words is "two hundred fifty-six billion, seventy-eight million, nine hundred thirty-four thousand, seven hundred eighty-four".