720682144900 has 81 divisors (see below), whose sum is σ = 1635274387173. Its totient is φ = 275664549600.

The previous prime is 720682144843. The next prime is 720682144901. The reversal of 720682144900 is 9441286027.

The square root of 720682144900 is 848930.

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., 259445572164 + 461236572736 = 509358^2 + 679144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (720682144901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 195252055 + ... + 195255745.

Almost surely, 2^720682144900 is an apocalyptic number.

720682144900 is the 848930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720682144900

720682144900 is an abundant number, since it is smaller than the sum of its proper divisors (914592242273).

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

720682144900 is an equidigital number, since it uses as much as digits as its factorization.

720682144900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7442 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 720682144900 in words is "seven hundred twenty billion, six hundred eighty-two million, one hundred forty-four thousand, nine hundred".