9456576960 has 224 divisors, whose sum is σ = 31443655680. Its totient is φ = 2403377152.

The previous prime is 9456576949. The next prime is 9456577057. The reversal of 9456576960 is 696756549.

9456576960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9456576960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7926124 + ... + 7927316.

Almost surely, 2^9456576960 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 9456576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15721827840).

9456576960 is an abundant number, since it is smaller than the sum of its proper divisors (21987078720).

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

9456576960 is a wasteful number, since it uses less digits than its factorization.

9456576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 57.

The square root of 9456576960 is about 97244.9328242865. The cubic root of 9456576960 is about 2114.6799799715.

The spelling of 9456576960 in words is "nine billion, four hundred fifty-six million, five hundred seventy-six thousand, nine hundred sixty".