7972524677728 has 192 divisors, whose sum is σ = 17698046607360. Its totient is φ = 3511381708800.

The previous prime is 7972524677701. The next prime is 7972524677729. The reversal of 7972524677728 is 8277764252797.

It is a super-2 number, since 2×7972524677728² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972524677729) by changing a digit.

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, 153768033 + ... + 153819871.

It is an arithmetic number, because the mean of its divisors is an integer number (92177326080).

Almost surely, 2^{7972524677728} 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 7972524677728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8849023303680).

7972524677728 is an abundant number, since it is smaller than the sum of its proper divisors (9725521929632).

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

7972524677728 is a wasteful number, since it uses less digits than its factorization.

7972524677728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52101 (or 52093 counting only the distinct ones).

The product of its digits is 1161699840, while the sum is 73.

The spelling of 7972524677728 in words is "seven trillion, nine hundred seventy-two billion, five hundred twenty-four million, six hundred seventy-seven thousand, seven hundred twenty-eight".