7214788224 has 576 divisors, whose sum is σ = 26334360000. Its totient is φ = 1889879040.

The previous prime is 7214788223. The next prime is 7214788267. The reversal of 7214788224 is 4228874127.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7214788224.

It is not an unprimeable number, because it can be changed into a prime (7214788223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 232735089 + ... + 232735119.

It is an arithmetic number, because the mean of its divisors is an integer number (45719375).

Almost surely, 2^7214788224 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 7214788224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167180000).

7214788224 is an abundant number, since it is smaller than the sum of its proper divisors (19119571776).

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

7214788224 is a wasteful number, since it uses less digits than its factorization.

7214788224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 62 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 7214788224 is about 84939.9094890029. The cubic root of 7214788224 is about 1932.2998904358.

The spelling of 7214788224 in words is "seven billion, two hundred fourteen million, seven hundred eighty-eight thousand, two hundred twenty-four".