9140376960 has 896 divisors, whose sum is σ = 38770371360. Its totient is φ = 2030469120.

The previous prime is 9140376941. The next prime is 9140376989. The reversal of 9140376960 is 696730419.

9140376960 is a `hidden beast` number, since 91 + 403 + 76 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 66718012 + ... + 66718148.

Almost surely, 2^9140376960 is an apocalyptic number.

9140376960 is a gapful number since it is divisible by the number (90) 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 9140376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19385185680).

9140376960 is an abundant number, since it is smaller than the sum of its proper divisors (29629994400).

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

9140376960 is a wasteful number, since it uses less digits than its factorization.

9140376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 9140376960 is about 95605.3186805002. The cubic root of 9140376960 is about 2090.8427391306.

The spelling of 9140376960 in words is "nine billion, one hundred forty million, three hundred seventy-six thousand, nine hundred sixty".