729241883136 has 960 divisors, whose sum is σ = 2525575852800. Its totient is φ = 200403320832.

The previous prime is 729241883077. The next prime is 729241883147. The reversal of 729241883136 is 631388142927.

It is a happy number.

729241883136 is a `hidden beast` number, since 7 + 2 + 9 + 241 + 88 + 313 + 6 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2329846116 + ... + 2329846428.

It is an arithmetic number, because the mean of its divisors is an integer number (2630808180).

Almost surely, 2^729241883136 is an apocalyptic number.

729241883136 is a gapful number since it is divisible by the number (76) 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 729241883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262787926400).

729241883136 is an abundant number, since it is smaller than the sum of its proper divisors (1796333969664).

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

729241883136 is a wasteful number, since it uses less digits than its factorization.

729241883136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 462 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 729241883136 in words is "seven hundred twenty-nine billion, two hundred forty-one million, eight hundred eighty-three thousand, one hundred thirty-six".