9025732800 has 420 divisors, whose sum is σ = 37919609200. Its totient is φ = 2062817280.

The previous prime is 9025732799. The next prime is 9025732829. The reversal of 9025732800 is 82375209.

It is a happy number.

9025732800 is a `hidden beast` number, since 9 + 0 + 2 + 573 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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 59 ways as a sum of consecutive naturals, for example, 902226 + ... + 912174.

Almost surely, 2^9025732800 is an apocalyptic number.

9025732800 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 9025732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18959804600).

9025732800 is an abundant number, since it is smaller than the sum of its proper divisors (28893876400).

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

9025732800 is a wasteful number, since it uses less digits than its factorization.

9025732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9990 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9025732800 is about 95003.8567638178. The cubic root of 9025732800 is about 2082.0643951879.

The spelling of 9025732800 in words is "nine billion, twenty-five million, seven hundred thirty-two thousand, eight hundred".