729303304800 has 1152 divisors, whose sum is σ = 2938329934848. Its totient is φ = 153354240000.

The previous prime is 729303304799. The next prime is 729303304853. The reversal of 729303304800 is 8403303927.

729303304800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3778773504 + ... + 3778773696.

It is an arithmetic number, because the mean of its divisors is an integer number (2550633624).

Almost surely, 2^729303304800 is an apocalyptic number.

729303304800 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 729303304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469164967424).

729303304800 is an abundant number, since it is smaller than the sum of its proper divisors (2209026630048).

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

729303304800 is a wasteful number, since it uses less digits than its factorization.

729303304800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 729303304800 in words is "seven hundred twenty-nine billion, three hundred three million, three hundred four thousand, eight hundred".