9979819200 has 504 divisors, whose sum is σ = 38692836000. Its totient is φ = 2424913920.

The previous prime is 9979819193. The next prime is 9979819207. The reversal of 9979819200 is 29189799.

9979819200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9979819193) and next prime (9979819207).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9979819207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16660501 + ... + 16661099.

It is an arithmetic number, because the mean of its divisors is an integer number (76771500).

Almost surely, 2^9979819200 is an apocalyptic number.

9979819200 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 9979819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346418000).

9979819200 is an abundant number, since it is smaller than the sum of its proper divisors (28713016800).

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

9979819200 is a wasteful number, since it uses less digits than its factorization.

9979819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The square root of 9979819200 is about 99899.0450404807. The cubic root of 9979819200 is about 2152.9844401674.

The spelling of 9979819200 in words is "nine billion, nine hundred seventy-nine million, eight hundred nineteen thousand, two hundred".