79336569795840 has 2880 divisors, whose sum is σ = 349990068105216. Its totient is φ = 16767661768704.

The previous prime is 79336569795779. The next prime is 79336569795859. The reversal of 79336569795840 is 4859796563397.

79336569795840 is a `hidden beast` number, since 7 + 9 + 3 + 3 + 6 + 569 + 7 + 9 + 5 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 79336569795840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 76802099964 + ... + 76802100996.

Almost surely, 2^{79336569795840} is an apocalyptic number.

79336569795840 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 79336569795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174995034052608).

79336569795840 is an abundant number, since it is smaller than the sum of its proper divisors (270653498309376).

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

79336569795840 is a wasteful number, since it uses less digits than its factorization.

79336569795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 9258883200, while the sum is 81.

The spelling of 79336569795840 in words is "seventy-nine trillion, three hundred thirty-six billion, five hundred sixty-nine million, seven hundred ninety-five thousand, eight hundred forty".