256670630064 has 120 divisors (see below), whose sum is σ = 761273440560. Its totient is φ = 82796843520.

The previous prime is 256670630063. The next prime is 256670630093. The reversal of 256670630064 is 460036076652.

256670630064 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 7 + 0 + 630 + 0 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (256670630063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106024 + ... + 724280.

It is an arithmetic number, because the mean of its divisors is an integer number (6343945338).

Almost surely, 2^256670630064 is an apocalyptic number.

256670630064 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 256670630064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380636720280).

256670630064 is an abundant number, since it is smaller than the sum of its proper divisors (504602810496).

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

256670630064 is a wasteful number, since it uses less digits than its factorization.

256670630064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618336 (or 618293 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 256670630064 in words is "two hundred fifty-six billion, six hundred seventy million, six hundred thirty thousand, sixty-four".