64017672800256 has 384 divisors, whose sum is σ = 226149419059200. Its totient is φ = 17495510630400.

The previous prime is 64017672800227. The next prime is 64017672800267. The reversal of 64017672800256 is 65200827671046.

It is a happy number.

64017672800256 is a `hidden beast` number, since 6 + 40 + 1 + 76 + 7 + 280 + 0 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5307231 + ... + 12498081.

It is an arithmetic number, because the mean of its divisors is an integer number (588930778800).

Almost surely, 2^{64017672800256} 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 64017672800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113074709529600).

64017672800256 is an abundant number, since it is smaller than the sum of its proper divisors (162131746258944).

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

64017672800256 is a wasteful number, since it uses less digits than its factorization.

64017672800256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7190912 (or 7190886 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 64017672800256 in words is "sixty-four trillion, seventeen billion, six hundred seventy-two million, eight hundred thousand, two hundred fifty-six".