117615368640 has 1344 divisors, whose sum is σ = 516815953920. Its totient is φ = 22079692800.

The previous prime is 117615368627. The next prime is 117615368657. The reversal of 117615368640 is 46863516711.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 117615368640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 355333275 + ... + 355333605.

It is an arithmetic number, because the mean of its divisors is an integer number (384535680).

Almost surely, 2^117615368640 is an apocalyptic number.

117615368640 is a gapful number since it is divisible by the number (10) 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 117615368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258407976960).

117615368640 is an abundant number, since it is smaller than the sum of its proper divisors (399200585280).

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

117615368640 is a wasteful number, since it uses less digits than its factorization.

117615368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 117615368640 in words is "one hundred seventeen billion, six hundred fifteen million, three hundred sixty-eight thousand, six hundred forty".