6668971344 has 360 divisors, whose sum is σ = 23444202600. Its totient is φ = 1757822976.

The previous prime is 6668971333. The next prime is 6668971363. The reversal of 6668971344 is 4431798666.

It can be written as a sum of positive squares in 4 ways, for example, as 4043433744 + 2625537600 = 63588^2 + 51240^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6356932 + ... + 6357980.

It is an arithmetic number, because the mean of its divisors is an integer number (65122785).

Almost surely, 2^6668971344 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 6668971344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11722101300).

6668971344 is an abundant number, since it is smaller than the sum of its proper divisors (16775231256).

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

6668971344 is a wasteful number, since it uses less digits than its factorization.

6668971344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1131 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 6668971344 is about 81663.7700819647. The cubic root of 6668971344 is about 1882.2889112157.

The spelling of 6668971344 in words is "six billion, six hundred sixty-eight million, nine hundred seventy-one thousand, three hundred forty-four".