79683673649760 has 576 divisors, whose sum is σ = 282594077700480. Its totient is φ = 20431454208000.

The previous prime is 79683673649693. The next prime is 79683673649819. The reversal of 79683673649760 is 6794637638697.

79683673649760 is a `hidden beast` number, since 7 + 9 + 6 + 8 + 3 + 67 + 3 + 6 + 497 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 79683673649760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1634143780 + ... + 1634192540.

It is an arithmetic number, because the mean of its divisors is an integer number (490614718230).

Almost surely, 2^{79683673649760} 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 79683673649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141297038850240).

79683673649760 is an abundant number, since it is smaller than the sum of its proper divisors (202910404050720).

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

79683673649760 is a wasteful number, since it uses less digits than its factorization.

79683673649760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49223 (or 49212 counting only the distinct ones).

The product of its (nonzero) digits is 10369949184, while the sum is 81.

The spelling of 79683673649760 in words is "seventy-nine trillion, six hundred eighty-three billion, six hundred seventy-three million, six hundred forty-nine thousand, seven hundred sixty".