117303072480 has 1440 divisors, whose sum is σ = 498331975680. Its totient is φ = 25866086400.

The previous prime is 117303072463. The next prime is 117303072487. The reversal of 117303072480 is 84270303711.

117303072480 is a `hidden beast` number, since 1 + 173 + 0 + 3 + 0 + 7 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117303072487) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 923646177 + ... + 923646303.

It is an arithmetic number, because the mean of its divisors is an integer number (346063872).

Almost surely, 2^117303072480 is an apocalyptic number.

117303072480 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 117303072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249165987840).

117303072480 is an abundant number, since it is smaller than the sum of its proper divisors (381028903200).

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

117303072480 is a wasteful number, since it uses less digits than its factorization.

117303072480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 117303072480 in words is "one hundred seventeen billion, three hundred three million, seventy-two thousand, four hundred eighty".