729660960 has 432 divisors, whose sum is σ = 3011613696. Its totient is φ = 166344192.

The previous prime is 729660923. The next prime is 729660973. The reversal of 729660960 is 69066927.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 1904929 + ... + 1905311.

It is an arithmetic number, because the mean of its divisors is an integer number (6971328).

Almost surely, 2^729660960 is an apocalyptic number.

729660960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729660960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505806848).

729660960 is an abundant number, since it is smaller than the sum of its proper divisors (2281952736).

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

729660960 is a wasteful number, since it uses less digits than its factorization.

729660960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 729660960 is about 27012.2372268570. The cubic root of 729660960 is about 900.2719178369.

The spelling of 729660960 in words is "seven hundred twenty-nine million, six hundred sixty thousand, nine hundred sixty".