8688150080 has 112 divisors (see below), whose sum is σ = 21180521520. Its totient is φ = 3393282048.

The previous prime is 8688150071. The next prime is 8688150131. The reversal of 8688150080 is 800518868.

It can be written as a sum of positive squares in 8 ways, for example, as 1723246144 + 6964903936 = 41512^2 + 83456^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3882722 + ... + 3884958.

Almost surely, 2^8688150080 is an apocalyptic number.

8688150080 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 8688150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10590260760).

8688150080 is an abundant number, since it is smaller than the sum of its proper divisors (12492371440).

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

8688150080 is a wasteful number, since it uses less digits than its factorization.

8688150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 44.

The square root of 8688150080 is about 93210.2466470291. The cubic root of 8688150080 is about 2055.7759045574.

The spelling of 8688150080 in words is "eight billion, six hundred eighty-eight million, one hundred fifty thousand, eighty".