6972996160 has 224 divisors, whose sum is σ = 18639129600. Its totient is φ = 2467307520.

The previous prime is 6972996137. The next prime is 6972996161. The reversal of 6972996160 is 616992796.

It is not an unprimeable number, because it can be changed into a prime (6972996161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17925246 + ... + 17925634.

It is an arithmetic number, because the mean of its divisors is an integer number (83210400).

Almost surely, 2^6972996160 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 6972996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9319564800).

6972996160 is an abundant number, since it is smaller than the sum of its proper divisors (11666133440).

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

6972996160 is a wasteful number, since it uses less digits than its factorization.

6972996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 55.

The square root of 6972996160 is about 83504.4679044181. The cubic root of 6972996160 is about 1910.4681801416.

The spelling of 6972996160 in words is "six billion, nine hundred seventy-two million, nine hundred ninety-six thousand, one hundred sixty".