729485338982400 has 15552 divisors, whose sum is σ = 4035487062297600. Its totient is φ = 124095902515200.

The previous prime is 729485338982399. The next prime is 729485338982429. The reversal of 729485338982400 is 4289833584927.

729485338982400 is a `hidden beast` number, since 7 + 2 + 9 + 4 + 8 + 533 + 8 + 9 + 82 + 4 + 0 + 0 = 666.

729485338982400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 15520964659177 + ... + 15520964659223.

It is an arithmetic number, because the mean of its divisors is an integer number (259483478800).

Almost surely, 2^{729485338982400} is an apocalyptic number.

729485338982400 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 729485338982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017743531148800).

729485338982400 is an abundant number, since it is smaller than the sum of its proper divisors (3306001723315200).

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

729485338982400 is a wasteful number, since it uses less digits than its factorization.

729485338982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 729485338982400 in words is "seven hundred twenty-nine trillion, four hundred eighty-five billion, three hundred thirty-eight million, nine hundred eighty-two thousand, four hundred".