9057484800 has 1080 divisors, whose sum is σ = 41411196736. Its totient is φ = 1911029760.

The previous prime is 9057484721. The next prime is 9057484817. The reversal of 9057484800 is 84847509.

9057484800 is a `hidden beast` number, since 90 + 5 + 7 + 484 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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, 696729594 + ... + 696729606.

Almost surely, 2^9057484800 is an apocalyptic number.

9057484800 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 9057484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20705598368).

9057484800 is an abundant number, since it is smaller than the sum of its proper divisors (32353711936).

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

9057484800 is an equidigital number, since it uses as much as digits as its factorization.

9057484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 9057484800 is about 95170.8190571038. The cubic root of 9057484800 is about 2084.5030646357.

The spelling of 9057484800 in words is "nine billion, fifty-seven million, four hundred eighty-four thousand, eight hundred".