8979675264 has 384 divisors, whose sum is σ = 32292449280. Its totient is φ = 2335703040.

The previous prime is 8979675241. The next prime is 8979675269. The reversal of 8979675264 is 4625769798.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8979675269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4248672 + ... + 4250784.

It is an arithmetic number, because the mean of its divisors is an integer number (84094920).

Almost surely, 2^8979675264 is an apocalyptic number.

8979675264 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 8979675264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16146224640).

8979675264 is an abundant number, since it is smaller than the sum of its proper divisors (23312774016).

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

8979675264 is a wasteful number, since it uses less digits than its factorization.

8979675264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2173 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The square root of 8979675264 is about 94761.1484945175. The cubic root of 8979675264 is about 2078.5168223320.

The spelling of 8979675264 in words is "eight billion, nine hundred seventy-nine million, six hundred seventy-five thousand, two hundred sixty-four".