256754749680 has 1440 divisors, whose sum is σ = 1078826950656. Its totient is φ = 54286848000.

The previous prime is 256754749661. The next prime is 256754749709. The reversal of 256754749680 is 86947457652.

256754749680 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 547 + 4 + 9 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2492764509 + ... + 2492764611.

Almost surely, 2^256754749680 is an apocalyptic number.

256754749680 is a gapful number since it is divisible by the number (20) 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 256754749680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539413475328).

256754749680 is an abundant number, since it is smaller than the sum of its proper divisors (822072200976).

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

256754749680 is a wasteful number, since it uses less digits than its factorization.

256754749680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 256754749680 in words is "two hundred fifty-six billion, seven hundred fifty-four million, seven hundred forty-nine thousand, six hundred eighty".