9368704800 has 864 divisors, whose sum is σ = 41402350080. Its totient is φ = 1940889600.

The previous prime is 9368704771. The next prime is 9368704817. The reversal of 9368704800 is 84078639.

It is a happy number.

9368704800 is a `hidden beast` number, since 93 + 6 + 87 + 0 + 480 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51760710 + ... + 51760890.

Almost surely, 2^9368704800 is an apocalyptic number.

9368704800 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 9368704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20701175040).

9368704800 is an abundant number, since it is smaller than the sum of its proper divisors (32033645280).

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

9368704800 is a wasteful number, since it uses less digits than its factorization.

9368704800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9368704800 is about 96792.0699231089. The cubic root of 9368704800 is about 2108.1095951479.

The spelling of 9368704800 in words is "nine billion, three hundred sixty-eight million, seven hundred four thousand, eight hundred".