9012326400 has 936 divisors, whose sum is σ = 40562356224. Its totient is φ = 1857945600.

The previous prime is 9012326387. The next prime is 9012326419. The reversal of 9012326400 is 46232109.

9012326400 is a `hidden beast` number, since 9 + 0 + 12 + 3 + 2 + 640 + 0 = 666.

It is a congruent number.

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, 70963137 + ... + 70963263.

Almost surely, 2^9012326400 is an apocalyptic number.

9012326400 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 9012326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20281178112).

9012326400 is an abundant number, since it is smaller than the sum of its proper divisors (31550029824).

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

9012326400 is a wasteful number, since it uses less digits than its factorization.

9012326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9012326400 is about 94933.2734082208. The cubic root of 9012326400 is about 2081.0330174462.

Adding to 9012326400 its reverse (46232109), we get a palindrome (9058558509).

The spelling of 9012326400 in words is "nine billion, twelve million, three hundred twenty-six thousand, four hundred".