729216480 has 48 divisors (see below), whose sum is σ = 2297033424. Its totient is φ = 194457600.

The previous prime is 729216473. The next prime is 729216493. The reversal of 729216480 is 84612927.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759121 + ... + 760080.

It is an arithmetic number, because the mean of its divisors is an integer number (47854863).

Almost surely, 2^729216480 is an apocalyptic number.

It is an amenable number.

729216480 is an abundant number, since it is smaller than the sum of its proper divisors (1567816944).

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

729216480 is a wasteful number, since it uses less digits than its factorization.

729216480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519219 (or 1519211 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 729216480 is about 27004.0085913184. The cubic root of 729216480 is about 900.0890776030.

It can be divided in two parts, 72921 and 6480, that added together give a triangular number (79401 = T₃₉₈).

The spelling of 729216480 in words is "seven hundred twenty-nine million, two hundred sixteen thousand, four hundred eighty".