117617408640 has 512 divisors, whose sum is σ = 426065587200. Its totient is φ = 30656102400.

The previous prime is 117617408621. The next prime is 117617408687. The reversal of 117617408640 is 46804716711.

117617408640 is a `hidden beast` number, since 1 + 176 + 17 + 408 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254033049 + ... + 254033511.

It is an arithmetic number, because the mean of its divisors is an integer number (832159350).

Almost surely, 2^117617408640 is an apocalyptic number.

117617408640 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 117617408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213032793600).

117617408640 is an abundant number, since it is smaller than the sum of its proper divisors (308448178560).

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

117617408640 is a wasteful number, since it uses less digits than its factorization.

117617408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 117617408640 in words is "one hundred seventeen billion, six hundred seventeen million, four hundred eight thousand, six hundred forty".