8979891984 has 320 divisors, whose sum is σ = 30360834560. Its totient is φ = 2519424000.

The previous prime is 8979891911. The next prime is 8979892027. The reversal of 8979891984 is 4891989798.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14941284 + ... + 14941884.

It is an arithmetic number, because the mean of its divisors is an integer number (94877608).

Almost surely, 2^8979891984 is an apocalyptic number.

8979891984 is a gapful number since it is divisible by the number (84) 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 8979891984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15180417280).

8979891984 is an abundant number, since it is smaller than the sum of its proper divisors (21380942576).

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

8979891984 is an equidigital number, since it uses as much as digits as its factorization.

8979891984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 674 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 72.

The square root of 8979891984 is about 94762.2919942315. The cubic root of 8979891984 is about 2078.5335435210.

The spelling of 8979891984 in words is "eight billion, nine hundred seventy-nine million, eight hundred ninety-one thousand, nine hundred eighty-four".