729253324800 has 4608 divisors, whose sum is σ = 3930948403200. Its totient is φ = 127401984000.

The previous prime is 729253324799. The next prime is 729253324843. The reversal of 729253324800 is 8423352927.

729253324800 is a `hidden beast` number, since 7 + 2 + 92 + 53 + 32 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23524300785 + ... + 23524300815.

It is an arithmetic number, because the mean of its divisors is an integer number (853070400).

Almost surely, 2^729253324800 is an apocalyptic number.

729253324800 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 729253324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965474201600).

729253324800 is an abundant number, since it is smaller than the sum of its proper divisors (3201695078400).

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

729253324800 is a wasteful number, since it uses less digits than its factorization.

729253324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 729253324800 in words is "seven hundred twenty-nine billion, two hundred fifty-three million, three hundred twenty-four thousand, eight hundred".