729917339904 has 405 divisors, whose sum is σ = 2318684573667. Its totient is φ = 228337532928.

The previous prime is 729917339863. The next prime is 729917339911. The reversal of 729917339904 is 409933719927.

The square root of 729917339904 is 854352.

It is a perfect power (a square), and thus also a powerful number.

729917339904 is a `hidden beast` number, since 7 + 299 + 1 + 7 + 339 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 192264710400 + 537652629504 = 438480^2 + 733248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2091453522 + ... + 2091453870.

Almost surely, 2^729917339904 is an apocalyptic number.

729917339904 is the 854352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729917339904

729917339904 is an abundant number, since it is smaller than the sum of its proper divisors (1588767233763).

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

729917339904 is an frugal number, since it uses more digits than its factorization.

729917339904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 63.

The spelling of 729917339904 in words is "seven hundred twenty-nine billion, nine hundred seventeen million, three hundred thirty-nine thousand, nine hundred four".