117670568400 has 480 divisors, whose sum is σ = 522168960000. Its totient is φ = 24450854400.

The previous prime is 117670568381. The next prime is 117670568401. The reversal of 117670568400 is 4865076711.

117670568400 is a `hidden beast` number, since 1 + 17 + 6 + 70 + 568 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117670568401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 760851 + ... + 902349.

It is an arithmetic number, because the mean of its divisors is an integer number (1087852000).

Almost surely, 2^117670568400 is an apocalyptic number.

117670568400 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 117670568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261084480000).

117670568400 is an abundant number, since it is smaller than the sum of its proper divisors (404498391600).

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

117670568400 is a wasteful number, since it uses less digits than its factorization.

117670568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141544 (or 141527 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 117670568400 in words is "one hundred seventeen billion, six hundred seventy million, five hundred sixty-eight thousand, four hundred".