729684480 has 320 divisors, whose sum is σ = 2730182400. Its totient is φ = 166182912.

The previous prime is 729684451. The next prime is 729684481. The reversal of 729684480 is 84486927.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (729684481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2634102 + ... + 2634378.

It is an arithmetic number, because the mean of its divisors is an integer number (8531820).

Almost surely, 2^729684480 is an apocalyptic number.

729684480 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 729684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365091200).

729684480 is an abundant number, since it is smaller than the sum of its proper divisors (2000497920).

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

729684480 is an equidigital number, since it uses as much as digits as its factorization.

729684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 729684480 is about 27012.6725815866. The cubic root of 729684480 is about 900.2815908993.

The spelling of 729684480 in words is "seven hundred twenty-nine million, six hundred eighty-four thousand, four hundred eighty".