8979684641280 has 1280 divisors, whose sum is σ = 35196490137600. Its totient is φ = 2159941386240.

The previous prime is 8979684641267. The next prime is 8979684641293. The reversal of 8979684641280 is 821464869798.

8979684641280 is a `hidden beast` number, since 8 + 9 + 7 + 96 + 8 + 46 + 412 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (8979684641267) and next prime (8979684641293).

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 8979684641199 and 8979684641208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8185673692 + ... + 8185674788.

It is an arithmetic number, because the mean of its divisors is an integer number (27497257920).

Almost surely, 2^{8979684641280} is an apocalyptic number.

8979684641280 is a gapful number since it is divisible by the number (80) 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 8979684641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17598245068800).

8979684641280 is an abundant number, since it is smaller than the sum of its proper divisors (26216805496320).

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

8979684641280 is a wasteful number, since it uses less digits than its factorization.

8979684641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 8979684641280 in words is "eight trillion, nine hundred seventy-nine billion, six hundred eighty-four million, six hundred forty-one thousand, two hundred eighty".