6888663644256 has 360 divisors, whose sum is σ = 21218407970760. Its totient is φ = 2192068859904.

The previous prime is 6888663644209. The next prime is 6888663644351. The reversal of 6888663644256 is 6524463668886.

6888663644256 is a `hidden beast` number, since 6 + 8 + 8 + 8 + 6 + 6 + 364 + 4 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 193990855 + ... + 194026361.

It is an arithmetic number, because the mean of its divisors is an integer number (58940022141).

Almost surely, 2^{6888663644256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6888663644256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10609203985380).

6888663644256 is an abundant number, since it is smaller than the sum of its proper divisors (14329744326504).

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

6888663644256 is a wasteful number, since it uses less digits than its factorization.

6888663644256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35676 (or 35630 counting only the distinct ones).

The product of its digits is 1911029760, while the sum is 72.

The spelling of 6888663644256 in words is "six trillion, eight hundred eighty-eight billion, six hundred sixty-three million, six hundred forty-four thousand, two hundred fifty-six".