9056768000 has 468 divisors, whose sum is σ = 27749895732. Its totient is φ = 2941747200.

The previous prime is 9056767997. The next prime is 9056768041. The reversal of 9056768000 is 8676509.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 289816576 + 8766951424 = 17024^2 + 93632^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 476671991 + ... + 476672009.

It is an arithmetic number, because the mean of its divisors is an integer number (59294649).

Almost surely, 2^9056768000 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 9056768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874947866).

9056768000 is an abundant number, since it is smaller than the sum of its proper divisors (18693127732).

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

9056768000 is an equidigital number, since it uses as much as digits as its factorization.

9056768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 9056768000 is about 95167.0531223910. The cubic root of 9056768000 is about 2084.4480747113.

The spelling of 9056768000 in words is "nine billion, fifty-six million, seven hundred sixty-eight thousand".