9431976960 has 924 divisors, whose sum is σ = 40917040848. Its totient is φ = 2042413056.

The previous prime is 9431976947. The next prime is 9431976977. The reversal of 9431976960 is 696791349.

9431976960 is a `hidden beast` number, since 9 + 431 + 97 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9431976897 and 9431976906.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 496419831 + ... + 496419849.

Almost surely, 2^9431976960 is an apocalyptic number.

9431976960 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 9431976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20458520424).

9431976960 is an abundant number, since it is smaller than the sum of its proper divisors (31485063888).

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

9431976960 is an equidigital number, since it uses as much as digits as its factorization.

9431976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 9431976960 is about 97118.3657193633. The cubic root of 9431976960 is about 2112.8447034345.

The spelling of 9431976960 in words is "nine billion, four hundred thirty-one million, nine hundred seventy-six thousand, nine hundred sixty".