79429270819360 has 1536 divisors, whose sum is σ = 251580697804800. Its totient is φ = 22986602496000.

The previous prime is 79429270819279. The next prime is 79429270819499. The reversal of 79429270819360 is 6391807292497.

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 255 ways as a sum of consecutive naturals, for example, 189568665231 + ... + 189568665649.

It is an arithmetic number, because the mean of its divisors is an integer number (163789516800).

Almost surely, 2^{79429270819360} is an apocalyptic number.

79429270819360 is a gapful number since it is divisible by the number (70) 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 79429270819360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125790348902400).

79429270819360 is an abundant number, since it is smaller than the sum of its proper divisors (172151426985440).

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

79429270819360 is a wasteful number, since it uses less digits than its factorization.

79429270819360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 67.

The spelling of 79429270819360 in words is "seventy-nine trillion, four hundred twenty-nine billion, two hundred seventy million, eight hundred nineteen thousand, three hundred sixty".