8579083680 has 384 divisors, whose sum is σ = 31894732800. Its totient is φ = 2147668992.

The previous prime is 8579083637. The next prime is 8579083693. The reversal of 8579083680 is 863809758.

It is a happy number.

8579083680 is a `hidden beast` number, since 8 + 579 + 0 + 8 + 3 + 68 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 10423749 + ... + 10424571.

It is an arithmetic number, because the mean of its divisors is an integer number (83059200).

Almost surely, 2^8579083680 is an apocalyptic number.

8579083680 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 8579083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15947366400).

8579083680 is an abundant number, since it is smaller than the sum of its proper divisors (23315649120).

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

8579083680 is a wasteful number, since it uses less digits than its factorization.

8579083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 8579083680 is about 92623.3430621029. The cubic root of 8579083680 is about 2047.1372836263.

The spelling of 8579083680 in words is "eight billion, five hundred seventy-nine million, eighty-three thousand, six hundred eighty".