6865681368672 has 96 divisors (see below), whose sum is σ = 22885604582400. Its totient is φ = 1961623246464.

The previous prime is 6865681368607. The next prime is 6865681368673. The reversal of 6865681368672 is 2768631865686.

6865681368672 is a `hidden beast` number, since 6 + 86 + 56 + 81 + 368 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6865681368672² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6865681368672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6865681368673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567593272 + ... + 567605367.

It is an arithmetic number, because the mean of its divisors is an integer number (238391714400).

Almost surely, 2^{6865681368672} is an apocalyptic number.

It is an amenable number.

6865681368672 is an abundant number, since it is smaller than the sum of its proper divisors (16019923213728).

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

6865681368672 is a wasteful number, since it uses less digits than its factorization.

6865681368672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135198665 (or 1135198651 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 6865681368672 in words is "six trillion, eight hundred sixty-five billion, six hundred eighty-one million, three hundred sixty-eight thousand, six hundred seventy-two".