6888449350656 has 616 divisors, whose sum is σ = 22033450618320. Its totient is φ = 2145178681344.

The previous prime is 6888449350649. The next prime is 6888449350667. The reversal of 6888449350656 is 6560539448886.

6888449350656 is a `hidden beast` number, since 6 + 8 + 8 + 84 + 493 + 5 + 0 + 6 + 56 = 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 55 ways as a sum of consecutive naturals, for example, 1035386626 + ... + 1035393278.

Almost surely, 2^{6888449350656} 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 6888449350656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016725309160).

6888449350656 is an abundant number, since it is smaller than the sum of its proper divisors (15145001267664).

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

6888449350656 is an equidigital number, since it uses as much as digits as its factorization.

6888449350656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 72.

The spelling of 6888449350656 in words is "six trillion, eight hundred eighty-eight billion, four hundred forty-nine million, three hundred fifty thousand, six hundred fifty-six".