8879904768 has 384 divisors, whose sum is σ = 28983951360. Its totient is φ = 2362736640.

The previous prime is 8879904757. The next prime is 8879904821. The reversal of 8879904768 is 8674099788.

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

It is a junction number, because it is equal to n+sod(n) for n = 8879904699 and 8879904708.

It is a congruent number.

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, 46491553 + ... + 46491743.

It is an arithmetic number, because the mean of its divisors is an integer number (75479040).

Almost surely, 2^8879904768 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 8879904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14491975680).

8879904768 is an abundant number, since it is smaller than the sum of its proper divisors (20104046592).

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

8879904768 is a wasteful number, since it uses less digits than its factorization.

8879904768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The square root of 8879904768 is about 94233.2466171043. The cubic root of 8879904768 is about 2070.7902082353.

The spelling of 8879904768 in words is "eight billion, eight hundred seventy-nine million, nine hundred four thousand, seven hundred sixty-eight".