8682401920800 has 144 divisors (see below), whose sum is σ = 28305312531552. Its totient is φ = 2311694745600.

The previous prime is 8682401920799. The next prime is 8682401920813. The reversal of 8682401920800 is 80291042868.

It is a super-2 number, since 2×8682401920800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8682401920800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1283494 + ... + 4360293.

It is an arithmetic number, because the mean of its divisors is an integer number (196564670358).

Almost surely, 2^{8682401920800} is an apocalyptic number.

8682401920800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8682401920800 is an abundant number, since it is smaller than the sum of its proper divisors (19622910610752).

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

8682401920800 is a wasteful number, since it uses less digits than its factorization.

8682401920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644451 (or 5644438 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 8682401920800 in words is "eight trillion, six hundred eighty-two billion, four hundred one million, nine hundred twenty thousand, eight hundred".