8686006560 has 1296 divisors, whose sum is σ = 40979457792. Its totient is φ = 1654732800.

The previous prime is 8686006519. The next prime is 8686006607. The reversal of 8686006560 is 656006868.

8686006560 is a `hidden beast` number, since 8 + 6 + 86 + 0 + 0 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 280193745 + ... + 280193775.

It is an arithmetic number, because the mean of its divisors is an integer number (31619952).

Almost surely, 2^8686006560 is an apocalyptic number.

8686006560 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 8686006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489728896).

8686006560 is an abundant number, since it is smaller than the sum of its proper divisors (32293451232).

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

8686006560 is a wasteful number, since it uses less digits than its factorization.

8686006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8686006560 is about 93198.7476310707. The cubic root of 8686006560 is about 2055.6068252494.

The spelling of 8686006560 in words is "eight billion, six hundred eighty-six million, six thousand, five hundred sixty".