79739347680 has 288 divisors, whose sum is σ = 285187646016. Its totient is φ = 20250058752.

The previous prime is 79739347679. The next prime is 79739347697. The reversal of 79739347680 is 8674393797.

79739347680 is a `hidden beast` number, since 7 + 9 + 73 + 93 + 476 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7711794 + ... + 7722126.

It is an arithmetic number, because the mean of its divisors is an integer number (990234882).

Almost surely, 2^79739347680 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 79739347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142593823008).

79739347680 is an abundant number, since it is smaller than the sum of its proper divisors (205448298336).

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

79739347680 is a wasteful number, since it uses less digits than its factorization.

79739347680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10610 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 79739347680 in words is "seventy-nine billion, seven hundred thirty-nine million, three hundred forty-seven thousand, six hundred eighty".