7225344000000 has 1323 divisors, whose sum is σ = 30350957030121. Its totient is φ = 1651507200000.

The previous prime is 7225343999963. The next prime is 7225344000001. The reversal of 7225344000000 is 4435227.

The square root of 7225344000000 is 2688000.

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

7225344000000 is a `hidden beast` number, since 7 + 2 + 253 + 4 + 400 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6330094977024 + 895249022976 = 2515968^2 + 946176^2 .

It is not an unprimeable number, because it can be changed into a prime (7225344000001) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1032191999997 + ... + 1032192000003.

Almost surely, 2^{7225344000000} is an apocalyptic number.

7225344000000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7225344000000 is the 2688000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7225344000000

7225344000000 is an abundant number, since it is smaller than the sum of its proper divisors (23125613030121).

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

7225344000000 is an frugal number, since it uses more digits than its factorization.

7225344000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 7225344000000 its reverse (4435227), we get a palindrome (7225348435227).

The spelling of 7225344000000 in words is "seven trillion, two hundred twenty-five billion, three hundred forty-four million", and thus it is an aban number.