6668293679712 has 288 divisors, whose sum is σ = 22928409504000. Its totient is φ = 1795787449344.

The previous prime is 6668293679689. The next prime is 6668293679737. The reversal of 6668293679712 is 2179763928666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6668293679712² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7104039 + ... + 7987737.

It is an arithmetic number, because the mean of its divisors is an integer number (79612533000).

Almost surely, 2^{6668293679712} 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 6668293679712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464204752000).

6668293679712 is an abundant number, since it is smaller than the sum of its proper divisors (16260115824288).

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

6668293679712 is a wasteful number, since it uses less digits than its factorization.

6668293679712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883938 (or 883927 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 6668293679712 in words is "six trillion, six hundred sixty-eight billion, two hundred ninety-three million, six hundred seventy-nine thousand, seven hundred twelve".