6972646296 has 288 divisors, whose sum is σ = 23470776000. Its totient is φ = 1715091840.

The previous prime is 6972646283. The next prime is 6972646309. The reversal of 6972646296 is 6926462796.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6972646283) and next prime (6972646309).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2702335 + ... + 2704913.

It is an arithmetic number, because the mean of its divisors is an integer number (81495750).

Almost surely, 2^6972646296 is an apocalyptic number.

6972646296 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6972646296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11735388000).

6972646296 is an abundant number, since it is smaller than the sum of its proper divisors (16498129704).

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

6972646296 is a wasteful number, since it uses less digits than its factorization.

6972646296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2621 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 57.

The square root of 6972646296 is about 83502.3729962209. The cubic root of 6972646296 is about 1910.4362275823.

The spelling of 6972646296 in words is "six billion, nine hundred seventy-two million, six hundred forty-six thousand, two hundred ninety-six".