7506828045729 has 24 divisors (see below), whose sum is σ = 11761056288072. Its totient is φ = 4595284500480.

The previous prime is 7506828045721. The next prime is 7506828045839. The reversal of 7506828045729 is 9275408286057.

7506828045729 is a `hidden beast` number, since 7 + 5 + 0 + 6 + 82 + 80 + 457 + 29 = 666.

7506828045729 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 337677210000 + 7169150835729 = 581100^2 + 2677527^2 .

It is not a de Polignac number, because 7506828045729 - 2³ = 7506828045721 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7506828045721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598338064 + ... + 598350609.

It is an arithmetic number, because the mean of its divisors is an integer number (490044012003).

Almost surely, 2^{7506828045729} is an apocalyptic number.

It is an amenable number.

7506828045729 is a deficient number, since it is larger than the sum of its proper divisors (4254228242343).

7506828045729 is a wasteful number, since it uses less digits than its factorization.

7506828045729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196688737 (or 1196688734 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 7506828045729 in words is "seven trillion, five hundred six billion, eight hundred twenty-eight million, forty-five thousand, seven hundred twenty-nine".