7968222968832 has 616 divisors, whose sum is σ = 28032146551776. Its totient is φ = 2215050706944.

The previous prime is 7968222968819. The next prime is 7968222968851. The reversal of 7968222968832 is 2388692228697.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 193321858 + ... + 193363070.

Almost surely, 2^{7968222968832} is an apocalyptic number.

7968222968832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7968222968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14016073275888).

7968222968832 is an abundant number, since it is smaller than the sum of its proper divisors (20063923582944).

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

7968222968832 is an equidigital number, since it uses as much as digits as its factorization.

7968222968832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41295 (or 41262 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 7968222968832 in words is "seven trillion, nine hundred sixty-eight billion, two hundred twenty-two million, nine hundred sixty-eight thousand, eight hundred thirty-two".