13728675744 has 432 divisors, whose sum is σ = 47621141568. Its totient is φ = 3879042048.

The previous prime is 13728675731. The next prime is 13728675757. The reversal of 13728675744 is 44757682731.

13728675744 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 8 + 67 + 574 + 4 = 666.

13728675744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13728675731) and next prime (13728675757).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 52200157 + ... + 52200419.

It is an arithmetic number, because the mean of its divisors is an integer number (110234124).

Almost surely, 2^13728675744 is an apocalyptic number.

13728675744 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 13728675744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23810570784).

13728675744 is an abundant number, since it is smaller than the sum of its proper divisors (33892465824).

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

13728675744 is a wasteful number, since it uses less digits than its factorization.

13728675744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 412 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 13728675744 in words is "thirteen billion, seven hundred twenty-eight million, six hundred seventy-five thousand, seven hundred forty-four".