256763820096 has 336 divisors, whose sum is σ = 878737327104. Its totient is φ = 70086601728.

The previous prime is 256763820013. The next prime is 256763820107. The reversal of 256763820096 is 690028367652.

256763820096 is a `hidden beast` number, since 256 + 7 + 6 + 382 + 0 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137526555 + ... + 137528421.

It is an arithmetic number, because the mean of its divisors is an integer number (2615289664).

Almost surely, 2^256763820096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256763820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439368663552).

256763820096 is an abundant number, since it is smaller than the sum of its proper divisors (621973507008).

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

256763820096 is a wasteful number, since it uses less digits than its factorization.

256763820096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 256763820096 in words is "two hundred fifty-six billion, seven hundred sixty-three million, eight hundred twenty thousand, ninety-six".