7381917160 has 256 divisors, whose sum is σ = 18811699200. Its totient is φ = 2596915200.

The previous prime is 7381917097. The next prime is 7381917167. The reversal of 7381917160 is 617191837.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7381917167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68989827 + ... + 68989933.

It is an arithmetic number, because the mean of its divisors is an integer number (73483200).

Almost surely, 2^7381917160 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 7381917160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9405849600).

7381917160 is an abundant number, since it is smaller than the sum of its proper divisors (11429782040).

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

7381917160 is a wasteful number, since it uses less digits than its factorization.

7381917160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 43.

The square root of 7381917160 is about 85918.0840102944. The cubic root of 7381917160 is about 1947.1065709774.

The spelling of 7381917160 in words is "seven billion, three hundred eighty-one million, nine hundred seventeen thousand, one hundred sixty".