79966642176000 has 2448 divisors, whose sum is σ = 319888778838720. Its totient is φ = 19925670297600.

The previous prime is 79966642175933. The next prime is 79966642176007. The reversal of 79966642176000 is 67124666997.

It is a tau number, because it is divible by the number of its divisors (2448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79966642176007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 575299583931 + ... + 575299584069.

Almost surely, 2^{79966642176000} 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 79966642176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159944389419360).

79966642176000 is an abundant number, since it is smaller than the sum of its proper divisors (239922136662720).

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

79966642176000 is an frugal number, since it uses more digits than its factorization.

79966642176000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 79966642176000 in words is "seventy-nine trillion, nine hundred sixty-six billion, six hundred forty-two million, one hundred seventy-six thousand".