117687306240 has 1536 divisors, whose sum is σ = 523635840000. Its totient is φ = 24970788864.

The previous prime is 117687306239. The next prime is 117687306287. The reversal of 117687306240 is 42603786711.

117687306240 is a `hidden beast` number, since 1 + 17 + 6 + 8 + 7 + 3 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 1612154844 + ... + 1612154916.

It is an arithmetic number, because the mean of its divisors is an integer number (340908750).

Almost surely, 2^117687306240 is an apocalyptic number.

117687306240 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 117687306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261817920000).

117687306240 is an abundant number, since it is smaller than the sum of its proper divisors (405948533760).

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

117687306240 is an equidigital number, since it uses as much as digits as its factorization.

117687306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 117687306240 in words is "one hundred seventeen billion, six hundred eighty-seven million, three hundred six thousand, two hundred forty".