7968282336 has 240 divisors, whose sum is σ = 26863208064. Its totient is φ = 2269783296.

The previous prime is 7968282331. The next prime is 7968282383. The reversal of 7968282336 is 6332828697.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968282331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11666251 + ... + 11666933.

Almost surely, 2^7968282336 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 7968282336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13431604032).

7968282336 is an abundant number, since it is smaller than the sum of its proper divisors (18894925728).

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

7968282336 is a wasteful number, since it uses less digits than its factorization.

7968282336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1338 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 7968282336 is about 89265.2358760117. The cubic root of 7968282336 is about 1997.3533605280.

The spelling of 7968282336 in words is "seven billion, nine hundred sixty-eight million, two hundred eighty-two thousand, three hundred thirty-six".