7004224224 has 144 divisors (see below), whose sum is σ = 21554612352. Its totient is φ = 2233173888.

The previous prime is 7004224223. The next prime is 7004224229. The reversal of 7004224224 is 4224224007.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7004224223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159267 + ... + 198429.

It is an arithmetic number, because the mean of its divisors is an integer number (149684808).

Almost surely, 2^7004224224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7004224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777306176).

7004224224 is an abundant number, since it is smaller than the sum of its proper divisors (14550388128).

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

7004224224 is a wasteful number, since it uses less digits than its factorization.

7004224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39211 (or 39191 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 7004224224 is about 83691.2434129163. The cubic root of 7004224224 is about 1913.3158982441.

The spelling of 7004224224 in words is "seven billion, four million, two hundred twenty-four thousand, two hundred twenty-four".