6675903585729 has 81 divisors (see below), whose sum is σ = 11409896793321. Its totient is φ = 3750403991040.

The previous prime is 6675903585727. The next prime is 6675903585739. The reversal of 6675903585729 is 9275853095766.

The square root of 6675903585729 is 2583777.

It is a perfect power (a square), and thus also a powerful number.

6675903585729 is a `hidden beast` number, since 6 + 6 + 7 + 590 + 3 + 5 + 8 + 5 + 7 + 29 = 666.

6675903585729 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 324233442225 + 6351670143504 = 569415^2 + 2520252^2 .

It is not a de Polignac number, because 6675903585729 - 2¹ = 6675903585727 is a prime.

It is a super-2 number, since 2×6675903585729² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6675903585727) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3309817329 + ... + 3309819345.

Almost surely, 2^{6675903585729} is an apocalyptic number.

6675903585729 is the 2583777-th square number.

6675903585729 is the 1291889-th centered octagonal number.

It is an amenable number.

6675903585729 is a deficient number, since it is larger than the sum of its proper divisors (4733993207592).

6675903585729 is an frugal number, since it uses more digits than its factorization.

6675903585729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 857304000, while the sum is 72.

The spelling of 6675903585729 in words is "six trillion, six hundred seventy-five billion, nine hundred three million, five hundred eighty-five thousand, seven hundred twenty-nine".