6895668822336 has 672 divisors, whose sum is σ = 24105746665728. Its totient is φ = 1913717145600.

The previous prime is 6895668822299. The next prime is 6895668822337. The reversal of 6895668822336 is 6332288665986.

6895668822336 is a `hidden beast` number, since 6 + 8 + 9 + 566 + 8 + 8 + 2 + 23 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6895668822337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 582743076 + ... + 582754908.

It is an arithmetic number, because the mean of its divisors is an integer number (35871646824).

Almost surely, 2^{6895668822336} 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 6895668822336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052873332864).

6895668822336 is an abundant number, since it is smaller than the sum of its proper divisors (17210077843392).

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

6895668822336 is a wasteful number, since it uses less digits than its factorization.

6895668822336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12021 (or 11999 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 6895668822336 in words is "six trillion, eight hundred ninety-five billion, six hundred sixty-eight million, eight hundred twenty-two thousand, three hundred thirty-six".