7679579668800 has 336 divisors, whose sum is σ = 27645495575040. Its totient is φ = 1854690140160.

The previous prime is 7679579668769. The next prime is 7679579668829. The reversal of 7679579668800 is 88669759767.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2146161 + ... + 4468239.

It is an arithmetic number, because the mean of its divisors is an integer number (82278260640).

Almost surely, 2^{7679579668800} 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 7679579668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13822747787520).

7679579668800 is an abundant number, since it is smaller than the sum of its proper divisors (19965915906240).

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

7679579668800 is a wasteful number, since it uses less digits than its factorization.

7679579668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322170 (or 2322155 counting only the distinct ones).

The product of its (nonzero) digits is 1920360960, while the sum is 78.

The spelling of 7679579668800 in words is "seven trillion, six hundred seventy-nine billion, five hundred seventy-nine million, six hundred sixty-eight thousand, eight hundred".