7213444624 has 45 divisors (see below), whose sum is σ = 14858425767. Its totient is φ = 3391844352.

The previous prime is 7213444577. The next prime is 7213444627. The reversal of 7213444624 is 4264443127.

It is a happy number.

The square root of 7213444624 is 84932.

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 296528400 + 6916916224 = 17220^2 + 83168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7213444627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5774752 + ... + 5776000.

Almost surely, 2^7213444624 is an apocalyptic number.

7213444624 is the 84932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7213444624

7213444624 is an abundant number, since it is smaller than the sum of its proper divisors (7644981143).

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

7213444624 is an equidigital number, since it uses as much as digits as its factorization.

7213444624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 1268 counting only the distinct ones).

The product of its digits is 129024, while the sum is 37.

The cubic root of 7213444624 is about 1932.1799331465.

The spelling of 7213444624 in words is "seven billion, two hundred thirteen million, four hundred forty-four thousand, six hundred twenty-four".