9524604960 has 432 divisors, whose sum is σ = 37277387784. Its totient is φ = 2193850368.

The previous prime is 9524604953. The next prime is 9524605001. The reversal of 9524604960 is 694064259.

9524604960 is a `hidden beast` number, since 9 + 524 + 60 + 4 + 9 + 60 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4465981584 + 5058623376 = 66828^2 + 71124^2 .

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 71 ways as a sum of consecutive naturals, for example, 55055434 + ... + 55055606.

Almost surely, 2^9524604960 is an apocalyptic number.

9524604960 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 9524604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18638693892).

9524604960 is an abundant number, since it is smaller than the sum of its proper divisors (27752782824).

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

9524604960 is a wasteful number, since it uses less digits than its factorization.

9524604960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9524604960 is about 97594.0826075024. The cubic root of 9524604960 is about 2119.7386767010.

The spelling of 9524604960 in words is "nine billion, five hundred twenty-four million, six hundred four thousand, nine hundred sixty".