729835323264 has 192 divisors, whose sum is σ = 2170984058880. Its totient is φ = 235098547200.

The previous prime is 729835323253. The next prime is 729835323293. The reversal of 729835323264 is 462323538927.

It is a happy number.

729835323264 is a `hidden beast` number, since 7 + 2 + 9 + 8 + 353 + 23 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×729835323264² (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 729835323264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25948569 + ... + 25976679.

It is an arithmetic number, because the mean of its divisors is an integer number (11307208640).

Almost surely, 2^729835323264 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 729835323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085492029440).

729835323264 is an abundant number, since it is smaller than the sum of its proper divisors (1441148735616).

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

729835323264 is a wasteful number, since it uses less digits than its factorization.

729835323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28889 (or 28874 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 729835323264 in words is "seven hundred twenty-nine billion, eight hundred thirty-five million, three hundred twenty-three thousand, two hundred sixty-four".