729722664 has 192 divisors, whose sum is σ = 2304806400. Its totient is φ = 206236800.

The previous prime is 729722663. The next prime is 729722701. The reversal of 729722664 is 466227927.

It is not an unprimeable number, because it can be changed into a prime (729722663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068067 + ... + 1068749.

It is an arithmetic number, because the mean of its divisors is an integer number (12004200).

Almost surely, 2^729722664 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 729722664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152403200).

729722664 is an abundant number, since it is smaller than the sum of its proper divisors (1575083736).

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

729722664 is a wasteful number, since it uses less digits than its factorization.

729722664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 789 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 729722664 is about 27013.3793517213. The cubic root of 729722664 is about 900.2972943774.

The spelling of 729722664 in words is "seven hundred twenty-nine million, seven hundred twenty-two thousand, six hundred sixty-four".