6681434760672 has 576 divisors, whose sum is σ = 21944425950720. Its totient is φ = 1737582907392.

The previous prime is 6681434760667. The next prime is 6681434760719. The reversal of 6681434760672 is 2760674341866.

It is a super-2 number, since 2×6681434760672² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3254472798 + ... + 3254474850.

It is an arithmetic number, because the mean of its divisors is an integer number (38097961720).

Almost surely, 2^{6681434760672} 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 6681434760672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972212975360).

6681434760672 is an abundant number, since it is smaller than the sum of its proper divisors (15262991190048).

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

6681434760672 is a wasteful number, since it uses less digits than its factorization.

6681434760672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 6681434760672 in words is "six trillion, six hundred eighty-one billion, four hundred thirty-four million, seven hundred sixty thousand, six hundred seventy-two".