79738365168 has 640 divisors, whose sum is σ = 300323635200. Its totient is φ = 19651507200.

The previous prime is 79738365149. The next prime is 79738365169. The reversal of 79738365168 is 86156383797.

79738365168 is a `hidden beast` number, since 7 + 97 + 383 + 6 + 5 + 168 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79738365169) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54652023 + ... + 54653481.

It is an arithmetic number, because the mean of its divisors is an integer number (469255680).

Almost surely, 2^79738365168 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 79738365168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150161817600).

79738365168 is an abundant number, since it is smaller than the sum of its proper divisors (220585270032).

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

79738365168 is a wasteful number, since it uses less digits than its factorization.

79738365168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1566 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 79738365168 in words is "seventy-nine billion, seven hundred thirty-eight million, three hundred sixty-five thousand, one hundred sixty-eight".