8376134688 has 288 divisors, whose sum is σ = 25242077952. Its totient is φ = 2632089600.

The previous prime is 8376134639. The next prime is 8376134707. The reversal of 8376134688 is 8864316738.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81321645 + ... + 81321747.

It is an arithmetic number, because the mean of its divisors is an integer number (87646104).

Almost surely, 2^8376134688 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 8376134688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621038976).

8376134688 is an abundant number, since it is smaller than the sum of its proper divisors (16865943264).

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

8376134688 is a wasteful number, since it uses less digits than its factorization.

8376134688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 8376134688 is about 91521.2253414474. The cubic root of 8376134688 is about 2030.8657593129.

The spelling of 8376134688 in words is "eight billion, three hundred seventy-six million, one hundred thirty-four thousand, six hundred eighty-eight".