9982980000 has 960 divisors, whose sum is σ = 44085888000. Its totient is φ = 2146176000.

The previous prime is 9982979983. The next prime is 9982980011. The reversal of 9982980000 is 892899.

It is a super-4 number, since 4×9982980000⁴ (a number of 41 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71819931 + ... + 71820069.

It is an arithmetic number, because the mean of its divisors is an integer number (45922800).

Almost surely, 2^9982980000 is an apocalyptic number.

9982980000 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 9982980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22042944000).

9982980000 is an abundant number, since it is smaller than the sum of its proper divisors (34102908000).

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

9982980000 is a wasteful number, since it uses less digits than its factorization.

9982980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9982980000 is about 99914.8637591024. The cubic root of 9982980000 is about 2153.2117133196.

The spelling of 9982980000 in words is "nine billion, nine hundred eighty-two million, nine hundred eighty thousand".