79479333684576 has 576 divisors, whose sum is σ = 280779680563200. Its totient is φ = 20811394022400.

The previous prime is 79479333684451. The next prime is 79479333684577. The reversal of 79479333684576 is 67548633397497.

79479333684576 is a `hidden beast` number, since 7 + 9 + 4 + 7 + 9 + 3 + 3 + 36 + 8 + 4 + 576 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 79479333684495 and 79479333684504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79479333684577) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3584821971 + ... + 3584844141.

It is an arithmetic number, because the mean of its divisors is an integer number (487464723200).

Almost surely, 2^{79479333684576} is an apocalyptic number.

79479333684576 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79479333684576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140389840281600).

79479333684576 is an abundant number, since it is smaller than the sum of its proper divisors (201300346878624).

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

79479333684576 is a wasteful number, since it uses less digits than its factorization.

79479333684576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25263 (or 25252 counting only the distinct ones).

The product of its digits is 17283248640, while the sum is 81.

The spelling of 79479333684576 in words is "seventy-nine trillion, four hundred seventy-nine billion, three hundred thirty-three million, six hundred eighty-four thousand, five hundred seventy-six".