79760117646 has 144 divisors (see below), whose sum is σ = 198533960352. Its totient is φ = 23081224320.

The previous prime is 79760117621. The next prime is 79760117681. The reversal of 79760117646 is 64671106797.

It is a junction number, because it is equal to n+sod(n) for n = 79760117592 and 79760117601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49942920 + ... + 49944516.

It is an arithmetic number, because the mean of its divisors is an integer number (1378708058).

Almost surely, 2^79760117646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79760117646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99266980176).

79760117646 is an abundant number, since it is smaller than the sum of its proper divisors (118773842706).

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

79760117646 is a wasteful number, since it uses less digits than its factorization.

79760117646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 79760117646 in words is "seventy-nine billion, seven hundred sixty million, one hundred seventeen thousand, six hundred forty-six".