79179319296 has 576 divisors, whose sum is σ = 291424573440. Its totient is φ = 20111523840.

The previous prime is 79179319283. The next prime is 79179319301. The reversal of 79179319296 is 69291397197.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×79179319296³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 66704815 + ... + 66706001.

It is an arithmetic number, because the mean of its divisors is an integer number (505945440).

Almost surely, 2^79179319296 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 79179319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145712286720).

79179319296 is an abundant number, since it is smaller than the sum of its proper divisors (212245254144).

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

79179319296 is a wasteful number, since it uses less digits than its factorization.

79179319296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1257 counting only the distinct ones).

The product of its digits is 11573604, while the sum is 63.

The spelling of 79179319296 in words is "seventy-nine billion, one hundred seventy-nine million, three hundred nineteen thousand, two hundred ninety-six".