7950368160 has 192 divisors, whose sum is σ = 31801593600. Its totient is φ = 1817220096.

The previous prime is 7950368147. The next prime is 7950368171. The reversal of 7950368160 is 618630597.

It is a happy number.

7950368160 is a `hidden beast` number, since 7 + 9 + 503 + 6 + 81 + 60 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101215 + ... + 161694.

It is an arithmetic number, because the mean of its divisors is an integer number (165633300).

Almost surely, 2^7950368160 is an apocalyptic number.

7950368160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7950368160 is an abundant number, since it is smaller than the sum of its proper divisors (23851225440).

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

7950368160 is a wasteful number, since it uses less digits than its factorization.

7950368160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262940 (or 262926 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7950368160 is about 89164.8370154962. The cubic root of 7950368160 is about 1995.8554305381.

The spelling of 7950368160 in words is "seven billion, nine hundred fifty million, three hundred sixty-eight thousand, one hundred sixty".