7224985600 has 288 divisors, whose sum is σ = 21570494400. Its totient is φ = 2344550400.

The previous prime is 7224985589. The next prime is 7224985661. The reversal of 7224985600 is 65894227.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6809070 + ... + 6810130.

It is an arithmetic number, because the mean of its divisors is an integer number (74897550).

Almost surely, 2^7224985600 is an apocalyptic number.

7224985600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7224985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10785247200).

7224985600 is an abundant number, since it is smaller than the sum of its proper divisors (14345508800).

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

7224985600 is a wasteful number, since it uses less digits than its factorization.

7224985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 7224985600 is about 84999.9152940754. The cubic root of 7224985600 is about 1933.2098322483.

The spelling of 7224985600 in words is "seven billion, two hundred twenty-four million, nine hundred eighty-five thousand, six hundred".