729508071645 has 12 divisors (see below), whose sum is σ = 1264480657596. Its totient is φ = 389070971520.

The previous prime is 729508071631. The next prime is 729508071661. The reversal of 729508071645 is 546170805927.

729508071645 is a `hidden beast` number, since 7 + 2 + 9 + 508 + 0 + 71 + 64 + 5 = 666.

729508071645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 151964310276 + 577543761369 = 389826^2 + 759963^2 .

It is not a de Polignac number, because 729508071645 - 2⁴ = 729508071629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 729508071591 and 729508071600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8105645196 + ... + 8105645285.

It is an arithmetic number, because the mean of its divisors is an integer number (105373388133).

Almost surely, 2^729508071645 is an apocalyptic number.

It is an amenable number.

729508071645 is a deficient number, since it is larger than the sum of its proper divisors (534972585951).

729508071645 is a wasteful number, since it uses less digits than its factorization.

729508071645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16211290492 (or 16211290489 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 729508071645 in words is "seven hundred twenty-nine billion, five hundred eight million, seventy-one thousand, six hundred forty-five".