6972608736 has 192 divisors, whose sum is σ = 21119918400. Its totient is φ = 2235340800.

The previous prime is 6972608681. The next prime is 6972608777. The reversal of 6972608736 is 6378062796.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10548246 + ... + 10548906.

It is an arithmetic number, because the mean of its divisors is an integer number (109999575).

Almost surely, 2^6972608736 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 6972608736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10559959200).

6972608736 is an abundant number, since it is smaller than the sum of its proper divisors (14147309664).

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

6972608736 is a wasteful number, since it uses less digits than its factorization.

6972608736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 6972608736 is about 83502.1480921299. The cubic root of 6972608736 is about 1910.4327972198.

The spelling of 6972608736 in words is "six billion, nine hundred seventy-two million, six hundred eight thousand, seven hundred thirty-six".