729741660 has 96 divisors (see below), whose sum is σ = 2179457280. Its totient is φ = 181797888.

The previous prime is 729741647. The next prime is 729741697. The reversal of 729741660 is 66147927.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139207 + ... + 144353.

It is an arithmetic number, because the mean of its divisors is an integer number (22702680).

Almost surely, 2^729741660 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 729741660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089728640).

729741660 is an abundant number, since it is smaller than the sum of its proper divisors (1449715620).

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

729741660 is a wasteful number, since it uses less digits than its factorization.

729741660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 729741660 is about 27013.7309529802. The cubic root of 729741660 is about 900.3051064316.

The spelling of 729741660 in words is "seven hundred twenty-nine million, seven hundred forty-one thousand, six hundred sixty".