79145941680 has 240 divisors, whose sum is σ = 286578845280. Its totient is φ = 19459325952.

The previous prime is 79145941673. The next prime is 79145941681. The reversal of 79145941680 is 8614954197.

79145941680 is a `hidden beast` number, since 7 + 9 + 145 + 9 + 416 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×79145941680² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (79145941681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8859456 + ... + 8868384.

It is an arithmetic number, because the mean of its divisors is an integer number (1194078522).

Almost surely, 2^79145941680 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 79145941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143289422640).

79145941680 is an abundant number, since it is smaller than the sum of its proper divisors (207432903600).

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

79145941680 is a wasteful number, since it uses less digits than its factorization.

79145941680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9908 (or 9899 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 79145941680 in words is "seventy-nine billion, one hundred forty-five million, nine hundred forty-one thousand, six hundred eighty".