117764716829760 has 7056 divisors, whose sum is σ = 605033946574848. Its totient is φ = 21230883717120.

The previous prime is 117764716829737. The next prime is 117764716829761. The reversal of 117764716829760 is 67928617467711.

117764716829760 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 6 + 471 + 6 + 8 + 2 + 97 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (117764716829761) by changing a digit.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 927281234817 + ... + 927281234943.

It is an arithmetic number, because the mean of its divisors is an integer number (85747441408).

Almost surely, 2^{117764716829760} is an apocalyptic number.

117764716829760 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 117764716829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302516973287424).

117764716829760 is an abundant number, since it is smaller than the sum of its proper divisors (487269229745088).

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

117764716829760 is a wasteful number, since it uses less digits than its factorization.

117764716829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 72.

The spelling of 117764716829760 in words is "one hundred seventeen trillion, seven hundred sixty-four billion, seven hundred sixteen million, eight hundred twenty-nine thousand, seven hundred sixty".