9992679200 has 144 divisors (see below), whose sum is σ = 27946586304. Its totient is φ = 3417830400.

The previous prime is 9992679181. The next prime is 9992679211. The reversal of 9992679200 is 29762999.

It is a super-2 number, since 2×9992679200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2613290 + ... + 2617110.

It is an arithmetic number, because the mean of its divisors is an integer number (194073516).

Almost surely, 2^9992679200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9992679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13973293152).

9992679200 is an abundant number, since it is smaller than the sum of its proper divisors (17953907104).

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

9992679200 is a wasteful number, since it uses less digits than its factorization.

9992679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 53.

The square root of 9992679200 is about 99963.3892982826. The cubic root of 9992679200 is about 2153.9088221693.

The spelling of 9992679200 in words is "nine billion, nine hundred ninety-two million, six hundred seventy-nine thousand, two hundred".