9056336400 has 180 divisors, whose sum is σ = 31897927152. Its totient is φ = 2378914560.

The previous prime is 9056336383. The next prime is 9056336431. The reversal of 9056336400 is 46336509.

9056336400 is a `hidden beast` number, since 9 + 0 + 5 + 6 + 3 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 222427 + ... + 259973.

Almost surely, 2^9056336400 is an apocalyptic number.

9056336400 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 9056336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15948963576).

9056336400 is an abundant number, since it is smaller than the sum of its proper divisors (22841590752).

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

9056336400 is a wasteful number, since it uses less digits than its factorization.

9056336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37638 (or 37624 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 9056336400 is about 95164.7855038827. The cubic root of 9056336400 is about 2084.4149627491.

The spelling of 9056336400 in words is "nine billion, fifty-six million, three hundred thirty-six thousand, four hundred".