117633630965760 has 6656 divisors, whose sum is σ = 577736785920000. Its totient is φ = 22754631352320.

The previous prime is 117633630965713. The next prime is 117633630965789. The reversal of 117633630965760 is 67569036336711.

117633630965760 is a `hidden beast` number, since 1 + 176 + 3 + 36 + 309 + 65 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6656).

It is a super-2 number, since 2×117633630965760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3794633256945 + ... + 3794633256975.

Almost surely, 2^{117633630965760} is an apocalyptic number.

117633630965760 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 117633630965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288868392960000).

117633630965760 is an abundant number, since it is smaller than the sum of its proper divisors (460103154954240).

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

117633630965760 is an frugal number, since it uses more digits than its factorization.

117633630965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 117633630965760 in words is "one hundred seventeen trillion, six hundred thirty-three billion, six hundred thirty million, nine hundred sixty-five thousand, seven hundred sixty".