7482030208900 has 243 divisors, whose sum is σ = 17964225542151. Its totient is φ = 2703643937280.

The previous prime is 7482030208843. The next prime is 7482030208903. The reversal of 7482030208900 is 98020302847.

It is a happy number.

The square root of 7482030208900 is 2735330.

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

It can be written as a sum of positive squares in 40 ways, for example, as 7356169875076 + 125860333824 = 2712226^2 + 354768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7482030208903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18846423502 + ... + 18846423898.

Almost surely, 2^{7482030208900} is an apocalyptic number.

7482030208900 is the 2735330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7482030208900

7482030208900 is an abundant number, since it is smaller than the sum of its proper divisors (10482195333251).

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

7482030208900 is a wasteful number, since it uses less digits than its factorization.

7482030208900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

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

The spelling of 7482030208900 in words is "seven trillion, four hundred eighty-two billion, thirty million, two hundred eight thousand, nine hundred".