48800675664 has 320 divisors, whose sum is σ = 158389862400. Its totient is φ = 14281920000.

The previous prime is 48800675659. The next prime is 48800675699. The reversal of 48800675664 is 46657600884.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48800675664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10269289 + ... + 10274039.

It is an arithmetic number, because the mean of its divisors is an integer number (494968320).

Almost surely, 2^48800675664 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 48800675664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79194931200).

48800675664 is an abundant number, since it is smaller than the sum of its proper divisors (109589186736).

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

48800675664 is a wasteful number, since it uses less digits than its factorization.

48800675664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 48800675664 in words is "forty-eight billion, eight hundred million, six hundred seventy-five thousand, six hundred sixty-four".