79601366494080 has 480 divisors, whose sum is σ = 289736183250360. Its totient is φ = 20826482946048.

The previous prime is 79601366494079. The next prime is 79601366494159. The reversal of 79601366494080 is 8049466310697.

79601366494080 is a `hidden beast` number, since 7 + 9 + 6 + 0 + 1 + 3 + 66 + 494 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 79601366493999 and 79601366494017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 145345239 + ... + 145891881.

Almost surely, 2^{79601366494080} 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 79601366494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144868091625180).

79601366494080 is an abundant number, since it is smaller than the sum of its proper divisors (210134816756280).

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

79601366494080 is an equidigital number, since it uses as much as digits as its factorization.

79601366494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546780 (or 546706 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 79601366494080 in words is "seventy-nine trillion, six hundred one billion, three hundred sixty-six million, four hundred ninety-four thousand, eighty".