32740975012729 has 9 divisors (see below), whose sum is σ = 32777940565069. Its totient is φ = 32704051120960.

The previous prime is 32740975012687. The next prime is 32740975012763. The reversal of 32740975012729 is 92721057904723.

The square root of 32740975012729 is 5721973.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14508519090025 + 18232455922704 = 3809005^2 + 4269948^2 .

It is not a de Polignac number, because 32740975012729 - 2¹⁹ = 32740974488441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32740975012769) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6071010657 + ... + 6071016049.

Almost surely, 2^{32740975012729} is an apocalyptic number.

32740975012729 is the 5721973-rd square number.

32740975012729 is the 2860987-th centered octagonal number.

It is an amenable number.

32740975012729 is a deficient number, since it is larger than the sum of its proper divisors (36965552340).

32740975012729 is an frugal number, since it uses more digits than its factorization.

32740975012729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12908 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 58.

The spelling of 32740975012729 in words is "thirty-two trillion, seven hundred forty billion, nine hundred seventy-five million, twelve thousand, seven hundred twenty-nine".