729829465280 has 112 divisors (see below), whose sum is σ = 1834285363680. Its totient is φ = 275824631808.

The previous prime is 729829465279. The next prime is 729829465291. The reversal of 729829465280 is 82564928927.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2106932 + ... + 2428748.

It is an arithmetic number, because the mean of its divisors is an integer number (16377547890).

Almost surely, 2^729829465280 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 729829465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917142681840).

729829465280 is an abundant number, since it is smaller than the sum of its proper divisors (1104455898400).

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

729829465280 is a wasteful number, since it uses less digits than its factorization.

729829465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322226 (or 322216 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 62.

The spelling of 729829465280 in words is "seven hundred twenty-nine billion, eight hundred twenty-nine million, four hundred sixty-five thousand, two hundred eighty".