117955740672 has 1320 divisors, whose sum is σ = 468045207168. Its totient is φ = 28904325120.

The previous prime is 117955740659. The next prime is 117955740703. The reversal of 117955740672 is 276047559711.

117955740672 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 5 + 574 + 0 + 67 + 2 = 666.

It is a super-3 number, since 3×117955740672³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 1615832028 + ... + 1615832100.

Almost surely, 2^117955740672 is an apocalyptic number.

117955740672 is a gapful number since it is divisible by the number (12) 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 117955740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234022603584).

117955740672 is an abundant number, since it is smaller than the sum of its proper divisors (350089466496).

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

117955740672 is a wasteful number, since it uses less digits than its factorization.

117955740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 117955740672 in words is "one hundred seventeen billion, nine hundred fifty-five million, seven hundred forty thousand, six hundred seventy-two".