8686466079408 has 800 divisors, whose sum is σ = 29398429491200. Its totient is φ = 2453233692672.

The previous prime is 8686466079367. The next prime is 8686466079413. The reversal of 8686466079408 is 8049706646868.

8686466079408 is a `hidden beast` number, since 8 + 6 + 8 + 6 + 4 + 6 + 607 + 9 + 4 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1748129148 + ... + 1748134116.

It is an arithmetic number, because the mean of its divisors is an integer number (36748036864).

Almost surely, 2^{8686466079408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8686466079408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699214745600).

8686466079408 is an abundant number, since it is smaller than the sum of its proper divisors (20711963411792).

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

8686466079408 is a wasteful number, since it uses less digits than its factorization.

8686466079408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5191 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 8686466079408 in words is "eight trillion, six hundred eighty-six billion, four hundred sixty-six million, seventy-nine thousand, four hundred eight".