729507308544 has 891 divisors, whose sum is σ = 2595198470553. Its totient is φ = 196787404800.

The previous prime is 729507308531. The next prime is 729507308567. The reversal of 729507308544 is 445803705927.

It is a happy number.

The square root of 729507308544 is 854112.

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

729507308544 is a `hidden beast` number, since 7 + 2 + 95 + 0 + 7 + 3 + 0 + 8 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35151750144 + 694355558400 = 187488^2 + 833280^2 .

It is a super-2 number, since 2×729507308544² (a number of 25 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 17792861164 + ... + 17792861204.

Almost surely, 2^729507308544 is an apocalyptic number.

729507308544 is the 854112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729507308544

729507308544 is an abundant number, since it is smaller than the sum of its proper divisors (1865691162009).

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

729507308544 is a wasteful number, since it uses less digits than its factorization.

729507308544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 729507308544 in words is "seven hundred twenty-nine billion, five hundred seven million, three hundred eight thousand, five hundred forty-four".