720463137601 has 9 divisors (see below), whose sum is σ = 746188862601. Its totient is φ = 695595814704.

The previous prime is 720463137593. The next prime is 720463137613. The reversal of 720463137601 is 106731364027.

The square root of 720463137601 is 848801.

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 17213177601 + 703249960000 = 131199^2 + 838600^2 .

It is not a de Polignac number, because 720463137601 - 2³ = 720463137593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (720463137631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24600595 + ... + 24629863.

Almost surely, 2^720463137601 is an apocalyptic number.

720463137601 is the 848801-st square number.

720463137601 is the 424401-st centered octagonal number.

It is an amenable number.

720463137601 is a deficient number, since it is larger than the sum of its proper divisors (25725725000).

720463137601 is an frugal number, since it uses more digits than its factorization.

720463137601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58596 (or 29298 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 720463137601 in words is "seven hundred twenty billion, four hundred sixty-three million, one hundred thirty-seven thousand, six hundred one".