12074761728 has 240 divisors, whose sum is σ = 35951984640. Its totient is φ = 3899363328.

The previous prime is 12074761667. The next prime is 12074761747. The reversal of 12074761728 is 82716747021.

12074761728 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 4 + 7 + 617 + 28 = 666.

12074761728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 27504933 + ... + 27505371.

It is an arithmetic number, because the mean of its divisors is an integer number (149799936).

Almost surely, 2^12074761728 is an apocalyptic number.

12074761728 is a gapful number since it is divisible by the number (18) 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 12074761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975992320).

12074761728 is an abundant number, since it is smaller than the sum of its proper divisors (23877222912).

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

12074761728 is a wasteful number, since it uses less digits than its factorization.

12074761728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 12074761728 in words is "twelve billion, seventy-four million, seven hundred sixty-one thousand, seven hundred twenty-eight".