256492382976 has 216 divisors, whose sum is σ = 800522666160. Its totient is φ = 80996806656.

The previous prime is 256492382969. The next prime is 256492382983. The reversal of 256492382976 is 679283294652.

It is a happy number.

256492382976 is a `hidden beast` number, since 2 + 56 + 492 + 3 + 8 + 2 + 97 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (256492382969) and next prime (256492382983).

It is a tau number, because it is divible by the number of its divisors (216).

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, 2443836 + ... + 2546628.

Almost surely, 2^256492382976 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 256492382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400261333080).

256492382976 is an abundant number, since it is smaller than the sum of its proper divisors (544030283184).

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

256492382976 is a wasteful number, since it uses less digits than its factorization.

256492382976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102856 (or 102817 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 256492382976 in words is "two hundred fifty-six billion, four hundred ninety-two million, three hundred eighty-two thousand, nine hundred seventy-six".