9625512960 has 880 divisors, whose sum is σ = 41282258400. Its totient is φ = 2124251136.

The previous prime is 9625512913. The next prime is 9625512971. The reversal of 9625512960 is 692155269.

It is a happy number.

9625512960 is a `hidden beast` number, since 9 + 6 + 2 + 551 + 2 + 96 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 331914226 + ... + 331914254.

Almost surely, 2^9625512960 is an apocalyptic number.

9625512960 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 9625512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20641129200).

9625512960 is an abundant number, since it is smaller than the sum of its proper divisors (31656745440).

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

9625512960 is an equidigital number, since it uses as much as digits as its factorization.

9625512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 9625512960 is about 98109.6986031452. The cubic root of 9625512960 is about 2127.1982205690.

The spelling of 9625512960 in words is "nine billion, six hundred twenty-five million, five hundred twelve thousand, nine hundred sixty".