256296470976 has 1792 divisors, whose sum is σ = 1037783040000. Its totient is φ = 61451550720.

The previous prime is 256296470933. The next prime is 256296470977. The reversal of 256296470976 is 679074692652.

256296470976 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 96 + 470 + 9 + 76 = 666.

It is a super-2 number, since 2×256296470976² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256296470977) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6926931630 + ... + 6926931666.

It is an arithmetic number, because the mean of its divisors is an integer number (579120000).

Almost surely, 2^256296470976 is an apocalyptic number.

256296470976 is a gapful number since it is divisible by the number (26) 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 256296470976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518891520000).

256296470976 is an abundant number, since it is smaller than the sum of its proper divisors (781486569024).

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

256296470976 is a wasteful number, since it uses less digits than its factorization.

256296470976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 256296470976 in words is "two hundred fifty-six billion, two hundred ninety-six million, four hundred seventy thousand, nine hundred seventy-six".