7982217568 has 96 divisors (see below), whose sum is σ = 17252428032. Its totient is φ = 3613248000.

The previous prime is 7982217563. The next prime is 7982217569. The reversal of 7982217568 is 8657122897.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7982217563) 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 15 ways as a sum of consecutive naturals, for example, 5212963 + ... + 5214493.

It is an arithmetic number, because the mean of its divisors is an integer number (179712792).

Almost surely, 2^7982217568 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 7982217568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8626214016).

7982217568 is an abundant number, since it is smaller than the sum of its proper divisors (9270210464).

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

7982217568 is a wasteful number, since it uses less digits than its factorization.

7982217568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1780 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 55.

The square root of 7982217568 is about 89343.2569811511. The cubic root of 7982217568 is about 1998.5170313404.

The spelling of 7982217568 in words is "seven billion, nine hundred eighty-two million, two hundred seventeen thousand, five hundred sixty-eight".