729674336 has 96 divisors (see below), whose sum is σ = 1551312000. Its totient is φ = 337139712.

The previous prime is 729674329. The next prime is 729674359. The reversal of 729674336 is 633476927.

It is a congruent 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, 2712410 + ... + 2712678.

It is an arithmetic number, because the mean of its divisors is an integer number (16159500).

Almost surely, 2^729674336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729674336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775656000).

729674336 is an abundant number, since it is smaller than the sum of its proper divisors (821637664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729674336 is a wasteful number, since it uses less digits than its factorization.

729674336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 47.

The square root of 729674336 is about 27012.4848172100. The cubic root of 729674336 is about 900.2774190054.

The spelling of 729674336 in words is "seven hundred twenty-nine million, six hundred seventy-four thousand, three hundred thirty-six".