8321314672800 has 216 divisors, whose sum is σ = 31069097255196. Its totient is φ = 2088486789120.

The previous prime is 8321314672799. The next prime is 8321314672823. The reversal of 8321314672800 is 82764131238.

8321314672800 is a `hidden beast` number, since 8 + 32 + 131 + 467 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3618471363984 + 4702843308816 = 1902228^2 + 2168604^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33869899 + ... + 34114698.

Almost surely, 2^{8321314672800} is an apocalyptic number.

8321314672800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8321314672800 is an abundant number, since it is smaller than the sum of its proper divisors (22747782582396).

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

8321314672800 is a wasteful number, since it uses less digits than its factorization.

8321314672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67984640 (or 67984624 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 8321314672800 in words is "eight trillion, three hundred twenty-one billion, three hundred fourteen million, six hundred seventy-two thousand, eight hundred".