6975822672 has 360 divisors, whose sum is σ = 24709996584. Its totient is φ = 1820786688.

The previous prime is 6975822671. The next prime is 6975822727. The reversal of 6975822672 is 2762285796.

It can be written as a sum of positive squares in 4 ways, for example, as 323136576 + 6652686096 = 17976^2 + 81564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6975822671) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10364928 + ... + 10365600.

Almost surely, 2^6975822672 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 6975822672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12354998292).

6975822672 is an abundant number, since it is smaller than the sum of its proper divisors (17734173912).

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

6975822672 is a wasteful number, since it uses less digits than its factorization.

6975822672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 811 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 6975822672 is about 83521.3905056663. The cubic root of 6975822672 is about 1910.7262820942.

The spelling of 6975822672 in words is "six billion, nine hundred seventy-five million, eight hundred twenty-two thousand, six hundred seventy-two".