9979182720 has 512 divisors, whose sum is σ = 39316838400. Its totient is φ = 2375516160.

The previous prime is 9979182673. The next prime is 9979182727. The reversal of 9979182720 is 272819799.

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

It is not an unprimeable number, because it can be changed into a prime (9979182727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6963124 + ... + 6964556.

It is an arithmetic number, because the mean of its divisors is an integer number (76790700).

Almost surely, 2^9979182720 is an apocalyptic number.

9979182720 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 9979182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19658419200).

9979182720 is an abundant number, since it is smaller than the sum of its proper divisors (29337655680).

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

9979182720 is a wasteful number, since it uses less digits than its factorization.

9979182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 9979182720 is about 99895.8593736497. The cubic root of 9979182720 is about 2152.9386691088.

The spelling of 9979182720 in words is "nine billion, nine hundred seventy-nine million, one hundred eighty-two thousand, seven hundred twenty".