7982732372897 has 8 divisors (see below), whose sum is σ = 8036381740200. Its totient is φ = 7929083992320.

The previous prime is 7982732372861. The next prime is 7982732372911.

7982732372897 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3804649203601 + 4178083169296 = 1950551^2 + 2044036^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7982732372897 - 2⁶ = 7982732372833 is a prime.

It is a super-2 number, since 2×7982732372897² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7982732372827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23900783 + ... + 24232475.

It is an arithmetic number, because the mean of its divisors is an integer number (1004547717525).

Almost surely, 2^{7982732372897} is an apocalyptic number.

It is an amenable number.

7982732372897 is a deficient number, since it is larger than the sum of its proper divisors (53649367303).

7982732372897 is a wasteful number, since it uses less digits than its factorization.

7982732372897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493363.

The product of its digits is 896168448, while the sum is 74.

The spelling of 7982732372897 in words is "seven trillion, nine hundred eighty-two billion, seven hundred thirty-two million, three hundred seventy-two thousand, eight hundred ninety-seven".