6806364364800 has 6048 divisors, whose sum is σ = 36417078157824. Its totient is φ = 1189085184000.

The previous prime is 6806364364777. The next prime is 6806364364823. The reversal of 6806364364800 is 84634636086.

6806364364800 is a `hidden beast` number, since 68 + 0 + 63 + 6 + 43 + 6 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6806364364777) and next prime (6806364364823).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 219560140785 + ... + 219560140815.

It is an arithmetic number, because the mean of its divisors is an integer number (6021342288).

Almost surely, 2^{6806364364800} is an apocalyptic number.

6806364364800 is a gapful number since it is divisible by the number (60) 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 6806364364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18208539078912).

6806364364800 is an abundant number, since it is smaller than the sum of its proper divisors (29610713793024).

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

6806364364800 is a wasteful number, since it uses less digits than its factorization.

6806364364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 6806364364800 in words is "six trillion, eight hundred six billion, three hundred sixty-four million, three hundred sixty-four thousand, eight hundred".