6863201280000 has 2800 divisors, whose sum is σ = 29477916172320. Its totient is φ = 1576599552000.

The previous prime is 6863201279989. The next prime is 6863201280077. The reversal of 6863201280000 is 821023686.

6863201280000 is a `hidden beast` number, since 6 + 8 + 632 + 0 + 12 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 102435839967 + ... + 102435840033.

Almost surely, 2^{6863201280000} is an apocalyptic number.

6863201280000 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 6863201280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738958086160).

6863201280000 is an abundant number, since it is smaller than the sum of its proper divisors (22614714892320).

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

6863201280000 is an equidigital number, since it uses as much as digits as its factorization.

6863201280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 6863201280000 in words is "six trillion, eight hundred sixty-three billion, two hundred one million, two hundred eighty thousand".