729500475665 has 32 divisors (see below), whose sum is σ = 949102751520. Its totient is φ = 535074269184.

The previous prime is 729500475661. The next prime is 729500475727. The reversal of 729500475665 is 566574005927.

729500475665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 854108²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 411322126336 + 318178349329 = 641344^2 + 564073^2 .

It is not a de Polignac number, because 729500475665 - 2² = 729500475661 is a prime.

It is a super-2 number, since 2×729500475665² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 729500475665.

It is not an unprimeable number, because it can be changed into a prime (729500475661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30286607 + ... + 30310683.

It is an arithmetic number, because the mean of its divisors is an integer number (29659460985).

Almost surely, 2^729500475665 is an apocalyptic number.

It is an amenable number.

729500475665 is a deficient number, since it is larger than the sum of its proper divisors (219602275855).

729500475665 is a wasteful number, since it uses less digits than its factorization.

729500475665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27221.

The product of its (nonzero) digits is 15876000, while the sum is 56.

The spelling of 729500475665 in words is "seven hundred twenty-nine billion, five hundred million, four hundred seventy-five thousand, six hundred sixty-five".