7679722171680 has 1728 divisors, whose sum is σ = 32035380249600. Its totient is φ = 1661374955520.

The previous prime is 7679722171669. The next prime is 7679722171691. The reversal of 7679722171680 is 861712279767.

It is an interprime number because it is at equal distance from previous prime (7679722171669) and next prime (7679722171691).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4863661131 + ... + 4863662709.

It is an arithmetic number, because the mean of its divisors is an integer number (18538993200).

Almost surely, 2^{7679722171680} 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 7679722171680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16017690124800).

7679722171680 is an abundant number, since it is smaller than the sum of its proper divisors (24355658077920).

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

7679722171680 is a wasteful number, since it uses less digits than its factorization.

7679722171680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 63.

The spelling of 7679722171680 in words is "seven trillion, six hundred seventy-nine billion, seven hundred twenty-two million, one hundred seventy-one thousand, six hundred eighty".