9216921600 has 468 divisors, whose sum is σ = 33709536276. Its totient is φ = 2406481920.

The previous prime is 9216921589. The next prime is 9216921617. The reversal of 9216921600 is 61296129.

9216921600 is a `hidden beast` number, since 9 + 21 + 6 + 9 + 21 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 37748736 + 9179172864 = 6144^2 + 95808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 67276732 + ... + 67276868.

Almost surely, 2^9216921600 is an apocalyptic number.

9216921600 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 9216921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16854768138).

9216921600 is an abundant number, since it is smaller than the sum of its proper divisors (24492614676).

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

9216921600 is a wasteful number, since it uses less digits than its factorization.

9216921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9216921600 is about 96004.7998800060. The cubic root of 9216921600 is about 2096.6629994749.

It can be divided in two parts, 9216 and 921600, that multiplied together give a square (8493465600 = 92160²).

The spelling of 9216921600 in words is "nine billion, two hundred sixteen million, nine hundred twenty-one thousand, six hundred".