8682120796800 has 1536 divisors, whose sum is σ = 33381589155840. Its totient is φ = 1963671552000.

The previous prime is 8682120796759. The next prime is 8682120796819. The reversal of 8682120796800 is 86970212868.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11231721214 + ... + 11231721986.

It is an arithmetic number, because the mean of its divisors is an integer number (21732805440).

Almost surely, 2^{8682120796800} is an apocalyptic number.

8682120796800 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 8682120796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16690794577920).

8682120796800 is an abundant number, since it is smaller than the sum of its proper divisors (24699468359040).

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

8682120796800 is a wasteful number, since it uses less digits than its factorization.

8682120796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 8682120796800 in words is "eight trillion, six hundred eighty-two billion, one hundred twenty million, seven hundred ninety-six thousand, eight hundred".