729374810417 has 16 divisors (see below), whose sum is σ = 838337430528. Its totient is φ = 628081283280.

The previous prime is 729374810413. The next prime is 729374810429. The reversal of 729374810417 is 714018473927.

It is not a de Polignac number, because 729374810417 - 2² = 729374810413 is a prime.

It is a super-2 number, since 2×729374810417² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729374810413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13968623 + ... + 14020740.

It is an arithmetic number, because the mean of its divisors is an integer number (52396089408).

Almost surely, 2^729374810417 is an apocalyptic number.

It is an amenable number.

729374810417 is a deficient number, since it is larger than the sum of its proper divisors (108962620111).

729374810417 is a wasteful number, since it uses less digits than its factorization.

729374810417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27989500.

The product of its (nonzero) digits is 2370816, while the sum is 53.

The spelling of 729374810417 in words is "seven hundred twenty-nine billion, three hundred seventy-four million, eight hundred ten thousand, four hundred seventeen".