6672913687760 has 160 divisors (see below), whose sum is σ = 15769229052960. Its totient is φ = 2625764327424.

The previous prime is 6672913687751. The next prime is 6672913687763. The reversal of 6672913687760 is 677863192766.

It can be written as a sum of positive squares in 16 ways, for example, as 2157220687504 + 4515693000256 = 1468748^2 + 2125016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6672913687763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797332856 + ... + 797341224.

It is an arithmetic number, because the mean of its divisors is an integer number (98557681581).

Almost surely, 2^{6672913687760} 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 6672913687760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884614526480).

6672913687760 is an abundant number, since it is smaller than the sum of its proper divisors (9096315365200).

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

6672913687760 is a wasteful number, since it uses less digits than its factorization.

6672913687760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9145 (or 9139 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 68.

The spelling of 6672913687760 in words is "six trillion, six hundred seventy-two billion, nine hundred thirteen million, six hundred eighty-seven thousand, seven hundred sixty".