8668186236864 has 2268 divisors, whose sum is σ = 34334524879200. Its totient is φ = 2082315755520.

The previous prime is 8668186236821. The next prime is 8668186236889. The reversal of 8668186236864 is 4686326818668.

8668186236864 is a `hidden beast` number, since 86 + 6 + 8 + 186 + 2 + 368 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 = 8668186236792 and 8668186236801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 97395350932 + ... + 97395351020.

It is an arithmetic number, because the mean of its divisors is an integer number (15138679400).

Almost surely, 2^{8668186236864} is an apocalyptic number.

8668186236864 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 8668186236864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17167262439600).

8668186236864 is an abundant number, since it is smaller than the sum of its proper divisors (25666338642336).

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

8668186236864 is a wasteful number, since it uses less digits than its factorization.

8668186236864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 210 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 8668186236864 in words is "eight trillion, six hundred sixty-eight billion, one hundred eighty-six million, two hundred thirty-six thousand, eight hundred sixty-four".