6393198016800 has 864 divisors, whose sum is σ = 26127840211200. Its totient is φ = 1440836812800.

The previous prime is 6393198016771. The next prime is 6393198016811. The reversal of 6393198016800 is 86108913936.

6393198016800 is a `hidden beast` number, since 6 + 393 + 1 + 98 + 0 + 168 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1133341980 + ... + 1133347620.

It is an arithmetic number, because the mean of its divisors is an integer number (30240555800).

Almost surely, 2^{6393198016800} is an apocalyptic number.

6393198016800 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 6393198016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063920105600).

6393198016800 is an abundant number, since it is smaller than the sum of its proper divisors (19734642194400).

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

6393198016800 is a wasteful number, since it uses less digits than its factorization.

6393198016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 6393198016800 in words is "six trillion, three hundred ninety-three billion, one hundred ninety-eight million, sixteen thousand, eight hundred".