7972804165216 has 192 divisors, whose sum is σ = 18120330934272. Its totient is φ = 3419020800000.

The previous prime is 7972804165141. The next prime is 7972804165229. The reversal of 7972804165216 is 6125614082797.

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 31 ways as a sum of consecutive naturals, for example, 681372166 + ... + 681383866.

It is an arithmetic number, because the mean of its divisors is an integer number (94376723616).

Almost surely, 2^{7972804165216} 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 7972804165216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9060165467136).

7972804165216 is an abundant number, since it is smaller than the sum of its proper divisors (10147526769056).

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

7972804165216 is a wasteful number, since it uses less digits than its factorization.

7972804165216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13317 (or 13309 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 7972804165216 in words is "seven trillion, nine hundred seventy-two billion, eight hundred four million, one hundred sixty-five thousand, two hundred sixteen".