79746545281824 has 144 divisors (see below), whose sum is σ = 240160586315832. Its totient is φ = 25014211190784.

The previous prime is 79746545281771. The next prime is 79746545281847. The reversal of 79746545281824 is 42818254564797.

79746545281824 is a `hidden beast` number, since 7 + 9 + 7 + 4 + 65 + 4 + 528 + 18 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76120948471824 + 3625596810000 = 8724732^2 + 1904100^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×79746545281824² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 27059442 + ... + 29861454.

Almost surely, 2^{79746545281824} 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 79746545281824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120080293157916).

79746545281824 is an abundant number, since it is smaller than the sum of its proper divisors (160414041034008).

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

79746545281824 is a wasteful number, since it uses less digits than its factorization.

79746545281824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807859 (or 2807848 counting only the distinct ones).

The product of its digits is 1083801600, while the sum is 72.

The spelling of 79746545281824 in words is "seventy-nine trillion, seven hundred forty-six billion, five hundred forty-five million, two hundred eighty-one thousand, eight hundred twenty-four".