9057576960 has 288 divisors, whose sum is σ = 32483997000. Its totient is φ = 2331377664.

The previous prime is 9057576953. The next prime is 9057576973. The reversal of 9057576960 is 696757509.

9057576960 is a `hidden beast` number, since 9 + 0 + 5 + 7 + 576 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8869118976 + 188457984 = 94176^2 + 13728^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 9057576897 and 9057576906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2670946 + ... + 2674334.

Almost surely, 2^9057576960 is an apocalyptic number.

9057576960 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 9057576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16241998500).

9057576960 is an abundant number, since it is smaller than the sum of its proper divisors (23426420040).

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

9057576960 is a wasteful number, since it uses less digits than its factorization.

9057576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The square root of 9057576960 is about 95171.3032378983. The cubic root of 9057576960 is about 2084.5101345584.

The spelling of 9057576960 in words is "nine billion, fifty-seven million, five hundred seventy-six thousand, nine hundred sixty".