12742861824 has 264 divisors, whose sum is σ = 45876512448. Its totient is φ = 3309649920.

The previous prime is 12742861811. The next prime is 12742861867. The reversal of 12742861824 is 42816824721.

12742861824 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 2 + 8 + 618 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12742861824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700654 + ... + 718610.

Almost surely, 2^12742861824 is an apocalyptic number.

12742861824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12742861824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22938256224).

12742861824 is an abundant number, since it is smaller than the sum of its proper divisors (33133650624).

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

12742861824 is a wasteful number, since it uses less digits than its factorization.

12742861824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18001 (or 17980 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 12742861824 in words is "twelve billion, seven hundred forty-two million, eight hundred sixty-one thousand, eight hundred twenty-four".