9216979200 has 864 divisors, whose sum is σ = 39812868480. Its totient is φ = 2057011200.

The previous prime is 9216979193. The next prime is 9216979237. The reversal of 9216979200 is 29796129.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24710214 + ... + 24710586.

Almost surely, 2^9216979200 is an apocalyptic number.

9216979200 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 9216979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906434240).

9216979200 is an abundant number, since it is smaller than the sum of its proper divisors (30595889280).

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

9216979200 is a wasteful number, since it uses less digits than its factorization.

9216979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 9216979200 is about 96005.0998645384. The cubic root of 9216979200 is about 2096.6673670769.

The spelling of 9216979200 in words is "nine billion, two hundred sixteen million, nine hundred seventy-nine thousand, two hundred".