9064684800 has 324 divisors, whose sum is σ = 32592604044. Its totient is φ = 2403532800.

The previous prime is 9064684781. The next prime is 9064684829. The reversal of 9064684800 is 84864609.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 204604416 + 8860080384 = 14304^2 + 94128^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13881274 + ... + 13881926.

Almost surely, 2^9064684800 is an apocalyptic number.

9064684800 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 9064684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16296302022).

9064684800 is an abundant number, since it is smaller than the sum of its proper divisors (23527919244).

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

9064684800 is a wasteful number, since it uses less digits than its factorization.

9064684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 9064684800 is about 95208.6382635525. The cubic root of 9064684800 is about 2085.0552579251.

The spelling of 9064684800 in words is "nine billion, sixty-four million, six hundred eighty-four thousand, eight hundred".