117629645760 has 168 divisors, whose sum is σ = 441378630576. Its totient is φ = 28516270080.

The previous prime is 117629645743. The next prime is 117629645779. The reversal of 117629645760 is 67546926711.

117629645760 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 2 + 9 + 64 + 576 + 0 = 666.

It is a super-3 number, since 3×117629645760³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 117629645697 and 117629645706.

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 23 ways as a sum of consecutive naturals, for example, 1824849 + ... + 1888208.

Almost surely, 2^117629645760 is an apocalyptic number.

117629645760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117629645760 is an abundant number, since it is smaller than the sum of its proper divisors (323748984816).

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

117629645760 is a wasteful number, since it uses less digits than its factorization.

117629645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713091 (or 3713078 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 117629645760 in words is "one hundred seventeen billion, six hundred twenty-nine million, six hundred forty-five thousand, seven hundred sixty".