79713973870848 has 1008 divisors, whose sum is σ = 256188870188160. Its totient is φ = 24670199808000.

The previous prime is 79713973870847. The next prime is 79713973870849. The reversal of 79713973870848 is 84807837931797.

79713973870848 is a `hidden beast` number, since 7 + 9 + 71 + 3 + 97 + 387 + 0 + 84 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (79713973870847) and next prime (79713973870849).

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

It is not an unprimeable number, because it can be changed into a prime (79713973870847) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36887538888 + ... + 36887541048.

Almost surely, 2^{79713973870848} 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 79713973870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128094435094080).

79713973870848 is an abundant number, since it is smaller than the sum of its proper divisors (176474896317312).

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

79713973870848 is a wasteful number, since it uses less digits than its factorization.

79713973870848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 3584673792, while the sum is 81.

The spelling of 79713973870848 in words is "seventy-nine trillion, seven hundred thirteen billion, nine hundred seventy-three million, eight hundred seventy thousand, eight hundred forty-eight".