10769665729 has 9 divisors (see below), whose sum is σ = 10855121481. Its totient is φ = 10684879920.

The previous prime is 10769665721. The next prime is 10769665783. The reversal of 10769665729 is 92756696701.

The square root of 10769665729 is 103777.

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 109516225 + 10660149504 = 10465^2 + 103248^2 .

It is not a de Polignac number, because 10769665729 - 2³ = 10769665721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10769665721) 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, 16292659 + ... + 16293319.

It is an arithmetic number, because the mean of its divisors is an integer number (1206124609).

Almost surely, 2^10769665729 is an apocalyptic number.

10769665729 is the 103777-th square number.

10769665729 is the 51889-th centered octagonal number.

It is an amenable number.

10769665729 is a deficient number, since it is larger than the sum of its proper divisors (85455752).

10769665729 is an frugal number, since it uses more digits than its factorization.

10769665729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 58.

The spelling of 10769665729 in words is "ten billion, seven hundred sixty-nine million, six hundred sixty-five thousand, seven hundred twenty-nine".