48637868760 has 288 divisors, whose sum is σ = 171964587600. Its totient is φ = 11916702720.

The previous prime is 48637868743. The next prime is 48637868791. The reversal of 48637868760 is 6786873684.

48637868760 is a `hidden beast` number, since 486 + 3 + 7 + 86 + 8 + 76 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13930615 + ... + 13934105.

Almost surely, 2^48637868760 is an apocalyptic number.

48637868760 is a gapful number since it is divisible by the number (40) 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 48637868760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85982293800).

48637868760 is an abundant number, since it is smaller than the sum of its proper divisors (123326718840).

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

48637868760 is a wasteful number, since it uses less digits than its factorization.

48637868760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 48637868760 in words is "forty-eight billion, six hundred thirty-seven million, eight hundred sixty-eight thousand, seven hundred sixty".