8686080000 has 780 divisors, whose sum is σ = 34928553660. Its totient is φ = 2064384000.

The previous prime is 8686079959. The next prime is 8686080001. The reversal of 8686080000 is 806868.

It can be written as a sum of positive squares in 10 ways, for example, as 7834374144 + 851705856 = 88512^2 + 29184^2 .

It is a tau number, because it is divible by the number of its divisors (780).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8686080001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 299519986 + ... + 299520014.

It is an arithmetic number, because the mean of its divisors is an integer number (44780197).

Almost surely, 2^8686080000 is an apocalyptic number.

8686080000 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 8686080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17464276830).

8686080000 is an abundant number, since it is smaller than the sum of its proper divisors (26242473660).

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

8686080000 is a wasteful number, since it uses less digits than its factorization.

8686080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8686080000 is about 93199.1416269485. The cubic root of 8686080000 is about 2055.6126186036.

Adding to 8686080000 its reverse (806868), we get a palindrome (8686886868).

The spelling of 8686080000 in words is "eight billion, six hundred eighty-six million, eighty thousand".