79146568744320 has 1536 divisors, whose sum is σ = 338172379776000. Its totient is φ = 15366590300160.

The previous prime is 79146568744303. The next prime is 79146568744357. The reversal of 79146568744320 is 2344786564197.

79146568744320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2255577336 + ... + 2255612424.

It is an arithmetic number, because the mean of its divisors is an integer number (220164309750).

It is a 2-persistent number, because it is pandigital, and so is 2⋅79146568744320 = 158293137488640, but 3⋅79146568744320 = 237439706232960 is not.

Almost surely, 2^{79146568744320} is an apocalyptic number.

79146568744320 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 79146568744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169086189888000).

79146568744320 is an abundant number, since it is smaller than the sum of its proper divisors (259025811031680).

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

79146568744320 is a wasteful number, since it uses less digits than its factorization.

79146568744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35232 (or 35209 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 79146568744320 in words is "seventy-nine trillion, one hundred forty-six billion, five hundred sixty-eight million, seven hundred forty-four thousand, three hundred twenty".