8186536080 has 320 divisors, whose sum is σ = 30379008000. Its totient is φ = 2019644928.

The previous prime is 8186536067. The next prime is 8186536087. The reversal of 8186536080 is 806356818.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8186536087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1762401 + ... + 1767039.

It is an arithmetic number, because the mean of its divisors is an integer number (94934400).

Almost surely, 2^8186536080 is an apocalyptic number.

8186536080 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 8186536080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15189504000).

8186536080 is an abundant number, since it is smaller than the sum of its proper divisors (22192471920).

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

8186536080 is a wasteful number, since it uses less digits than its factorization.

8186536080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8186536080 is about 90479.4787783396. The cubic root of 8186536080 is about 2015.4253960482.

The spelling of 8186536080 in words is "eight billion, one hundred eighty-six million, five hundred thirty-six thousand, eighty".