8376558960 has 480 divisors, whose sum is σ = 33057884160. Its totient is φ = 1717309440.

The previous prime is 8376558947. The next prime is 8376558961. The reversal of 8376558960 is 698556738.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8376558960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8376558961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18091689 + ... + 18092151.

It is an arithmetic number, because the mean of its divisors is an integer number (68870592).

Almost surely, 2^8376558960 is an apocalyptic number.

8376558960 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 8376558960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16528942080).

8376558960 is an abundant number, since it is smaller than the sum of its proper divisors (24681325200).

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

8376558960 is a wasteful number, since it uses less digits than its factorization.

8376558960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The square root of 8376558960 is about 91523.5432006432. The cubic root of 8376558960 is about 2030.9000481968.

The spelling of 8376558960 in words is "eight billion, three hundred seventy-six million, five hundred fifty-eight thousand, nine hundred sixty".