717632625424 has 135 divisors (see below), whose sum is σ = 1656028797087. Its totient is φ = 300901286400.

The previous prime is 717632625421. The next prime is 717632625427. The reversal of 717632625424 is 424526236717.

The square root of 717632625424 is 847132.

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

It is an interprime number because it is at equal distance from previous prime (717632625421) and next prime (717632625427).

It can be written as a sum of positive squares in 4 ways, for example, as 143020112400 + 574612513024 = 378180^2 + 758032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (717632625421) 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, 484558764 + ... + 484560244.

Almost surely, 2^717632625424 is an apocalyptic number.

717632625424 is the 847132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 717632625424

717632625424 is an abundant number, since it is smaller than the sum of its proper divisors (938396171663).

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

717632625424 is a wasteful number, since it uses less digits than its factorization.

717632625424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 1507 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 49.

Multiplying 717632625424 by its sum of digits (49), we get a square (35163998645776 = 5929924²).

The spelling of 717632625424 in words is "seven hundred seventeen billion, six hundred thirty-two million, six hundred twenty-five thousand, four hundred twenty-four".