729641663785 has 16 divisors (see below), whose sum is σ = 892166074704. Its totient is φ = 572651153152.

The previous prime is 729641663771. The next prime is 729641663797. The reversal of 729641663785 is 587366146927.

It can be written as a sum of positive squares in 8 ways, for example, as 15391876096 + 714249787689 = 124064^2 + 845133^2 .

It is a cyclic number.

It is not a de Polignac number, because 729641663785 - 2²³ = 729633275177 is a prime.

It is a super-3 number, since 3×729641663785³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 3178539 + ... + 3400351.

It is an arithmetic number, because the mean of its divisors is an integer number (55760379669).

Almost surely, 2^729641663785 is an apocalyptic number.

It is an amenable number.

729641663785 is a deficient number, since it is larger than the sum of its proper divisors (162524410919).

729641663785 is a wasteful number, since it uses less digits than its factorization.

729641663785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234284.

The product of its digits is 91445760, while the sum is 64.

The spelling of 729641663785 in words is "seven hundred twenty-nine billion, six hundred forty-one million, six hundred sixty-three thousand, seven hundred eighty-five".