7963279879680 has 800 divisors, whose sum is σ = 29769118315200. Its totient is φ = 2031997943808.

The previous prime is 7963279879679. The next prime is 7963279879691. The reversal of 7963279879680 is 869789723697.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 7963279879680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 679512861 + ... + 679524579.

It is an arithmetic number, because the mean of its divisors is an integer number (37211397894).

Almost surely, 2^{7963279879680} 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 7963279879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14884559157600).

7963279879680 is an abundant number, since it is smaller than the sum of its proper divisors (21805838435520).

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

7963279879680 is a wasteful number, since it uses less digits than its factorization.

7963279879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11896 (or 11871 counting only the distinct ones).

The product of its (nonzero) digits is 3456649728, while the sum is 81.

The spelling of 7963279879680 in words is "seven trillion, nine hundred sixty-three billion, two hundred seventy-nine million, eight hundred seventy-nine thousand, six hundred eighty".