9568972800 has 312 divisors, whose sum is σ = 35162980080. Its totient is φ = 2550988800.

The previous prime is 9568972799. The next prime is 9568972811. The reversal of 9568972800 is 82798659.

It is a happy number.

9568972800 is a `hidden beast` number, since 9 + 568 + 9 + 72 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2763070 + ... + 2766530.

Almost surely, 2^9568972800 is an apocalyptic number.

9568972800 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 9568972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581490040).

9568972800 is an abundant number, since it is smaller than the sum of its proper divisors (25594007280).

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

9568972800 is a wasteful number, since it uses less digits than its factorization.

9568972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 9568972800 is about 97821.1265524989. The cubic root of 9568972800 is about 2123.0249921862.

The spelling of 9568972800 in words is "nine billion, five hundred sixty-eight million, nine hundred seventy-two thousand, eight hundred".