729334009625 has 32 divisors (see below), whose sum is σ = 986803927200. Its totient is φ = 534970272000.

The previous prime is 729334009589. The next prime is 729334009681. The reversal of 729334009625 is 526900433927.

It can be written as a sum of positive squares in 16 ways, for example, as 578713175824 + 150620833801 = 760732^2 + 388099^2 .

It is not a de Polignac number, because 729334009625 - 2⁶ = 729334009561 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263986 + ... + 1748235.

It is an arithmetic number, because the mean of its divisors is an integer number (30837622725).

Almost surely, 2^729334009625 is an apocalyptic number.

It is an amenable number.

729334009625 is a deficient number, since it is larger than the sum of its proper divisors (257469917575).

729334009625 is a wasteful number, since it uses less digits than its factorization.

729334009625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012398 (or 3012388 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 50.

The spelling of 729334009625 in words is "seven hundred twenty-nine billion, three hundred thirty-four million, nine thousand, six hundred twenty-five".