723179664 has 135 divisors (see below), whose sum is σ = 2127260083. Its totient is φ = 238155552.

The previous prime is 723179627. The next prime is 723179669. The reversal of 723179664 is 466971327.

The square root of 723179664 is 26892.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (723179669) 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 26 ways as a sum of consecutive naturals, for example, 8712967 + ... + 8713049.

Almost surely, 2^723179664 is an apocalyptic number.

723179664 is the 26892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 723179664

723179664 is an abundant number, since it is smaller than the sum of its proper divisors (1404080419).

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

723179664 is an frugal number, since it uses more digits than its factorization.

723179664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 88 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The cubic root of 723179664 is about 897.5983971489.

The spelling of 723179664 in words is "seven hundred twenty-three million, one hundred seventy-nine thousand, six hundred sixty-four".