729500475664 has 135 divisors (see below), whose sum is σ = 1512056189007. Its totient is φ = 340932582144.

The previous prime is 729500475661. The next prime is 729500475727. The reversal of 729500475664 is 466574005927.

The square root of 729500475664 is 854108.

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

It can be written as a sum of positive squares in 4 ways, for example, as 155251760400 + 574248715264 = 394020^2 + 757792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729500475661) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3665831437 + ... + 3665831635.

Almost surely, 2^729500475664 is an apocalyptic number.

729500475664 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

729500475664 is the 854108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729500475664

729500475664 is an abundant number, since it is smaller than the sum of its proper divisors (782555713343).

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

729500475664 is an equidigital number, since it uses as much as digits as its factorization.

729500475664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 729500475664 in words is "seven hundred twenty-nine billion, five hundred million, four hundred seventy-five thousand, six hundred sixty-four".