8686209668400 has 1260 divisors, whose sum is σ = 35102129585544. Its totient is φ = 2046394368000.

The previous prime is 8686209668399. The next prime is 8686209668417. The reversal of 8686209668400 is 48669026868.

8686209668400 is a `hidden beast` number, since 8 + 6 + 86 + 2 + 0 + 96 + 68 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 33798481072 + ... + 33798481328.

Almost surely, 2^{8686209668400} is an apocalyptic number.

8686209668400 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 8686209668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17551064792772).

8686209668400 is an abundant number, since it is smaller than the sum of its proper divisors (26415919917144).

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

8686209668400 is a wasteful number, since it uses less digits than its factorization.

8686209668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 8686209668400 in words is "eight trillion, six hundred eighty-six billion, two hundred nine million, six hundred sixty-eight thousand, four hundred".