8686884864 has 384 divisors, whose sum is σ = 27964984320. Its totient is φ = 2346319872.

The previous prime is 8686884851. The next prime is 8686884907. The reversal of 8686884864 is 4684886868.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8686884795 and 8686884804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84338637 + ... + 84338739.

It is an arithmetic number, because the mean of its divisors is an integer number (72825480).

Almost surely, 2^8686884864 is an apocalyptic number.

8686884864 is a gapful number since it is divisible by the number (84) 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 8686884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13982492160).

8686884864 is an abundant number, since it is smaller than the sum of its proper divisors (19278099456).

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

8686884864 is a wasteful number, since it uses less digits than its factorization.

8686884864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its digits is 113246208, while the sum is 66.

The square root of 8686884864 is about 93203.4595066084. The cubic root of 8686884864 is about 2055.6761085974.

The spelling of 8686884864 in words is "eight billion, six hundred eighty-six million, eight hundred eighty-four thousand, eight hundred sixty-four".