8679300768 has 192 divisors, whose sum is σ = 27068670720. Its totient is φ = 2696011776.

The previous prime is 8679300709. The next prime is 8679300779. The reversal of 8679300768 is 8670039768.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1509996 + ... + 1515732.

It is an arithmetic number, because the mean of its divisors is an integer number (140982660).

Almost surely, 2^8679300768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8679300768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13534335360).

8679300768 is an abundant number, since it is smaller than the sum of its proper divisors (18389369952).

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

8679300768 is a wasteful number, since it uses less digits than its factorization.

8679300768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 8679300768 is about 93162.7649224732. The cubic root of 8679300768 is about 2055.0776975258.

Subtracting from 8679300768 its reverse (8670039768), we obtain a cube (9261000 = 210³).

The spelling of 8679300768 in words is "eight billion, six hundred seventy-nine million, three hundred thousand, seven hundred sixty-eight".