7318460160 has 1008 divisors, whose sum is σ = 30884087808. Its totient is φ = 1642291200.

The previous prime is 7318460159. The next prime is 7318460179. The reversal of 7318460160 is 610648137.

7318460160 is a `hidden beast` number, since 7 + 31 + 8 + 460 + 160 = 666.

It is a super-2 number, since 2×7318460160² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 236079345 + ... + 236079375.

It is an arithmetic number, because the mean of its divisors is an integer number (30638976).

Almost surely, 2^7318460160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7318460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15442043904).

7318460160 is an abundant number, since it is smaller than the sum of its proper divisors (23565627648).

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

7318460160 is a wasteful number, since it uses less digits than its factorization.

7318460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7318460160 is about 85547.9991583672. Note that the first 3 decimals coincide. The cubic root of 7318460160 is about 1941.5112184205.

The spelling of 7318460160 in words is "seven billion, three hundred eighteen million, four hundred sixty thousand, one hundred sixty".