9416304000 has 512 divisors, whose sum is σ = 35286451200. Its totient is φ = 2467584000.

The previous prime is 9416303957. The next prime is 9416304013. The reversal of 9416304000 is 4036149.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 30671847 + ... + 30672153.

It is an arithmetic number, because the mean of its divisors is an integer number (68918850).

Almost surely, 2^9416304000 is an apocalyptic number.

9416304000 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 9416304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17643225600).

9416304000 is an abundant number, since it is smaller than the sum of its proper divisors (25870147200).

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

9416304000 is a wasteful number, since it uses less digits than its factorization.

9416304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 388 counting only the distinct ones).

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

The square root of 9416304000 is about 97037.6421807538. The cubic root of 9416304000 is about 2111.6737615924.

The spelling of 9416304000 in words is "nine billion, four hundred sixteen million, three hundred four thousand".