729370657024 has 27 divisors (see below), whose sum is σ = 1455919486077. Its totient is φ = 364678496256.

The previous prime is 729370657021. The next prime is 729370657039. The reversal of 729370657024 is 420756073927.

The square root of 729370657024 is 854032.

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

It can be written as a sum of positive squares in only one way, i.e., 728496390400 + 874266624 = 853520^2 + 29568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729370657021) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 13637824 + ... + 13691200.

Almost surely, 2^729370657024 is an apocalyptic number.

729370657024 is the 854032-nd square number.

It is an amenable number.

729370657024 is a deficient number, since it is larger than the sum of its proper divisors (726548829053).

729370657024 is an frugal number, since it uses more digits than its factorization.

729370657024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106770 (or 53379 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 52.

The spelling of 729370657024 in words is "seven hundred twenty-nine billion, three hundred seventy million, six hundred fifty-seven thousand, twenty-four".