8745940224 has 720 divisors, whose sum is σ = 32977405440. Its totient is φ = 2275983360.

The previous prime is 8745940211. The next prime is 8745940243. The reversal of 8745940224 is 4220495478.

It is a super-3 number, since 3×8745940224³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8745940224.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 282127089 + ... + 282127119.

It is an arithmetic number, because the mean of its divisors is an integer number (45801952).

Almost surely, 2^8745940224 is an apocalyptic number.

8745940224 is a gapful number since it is divisible by the number (84) 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 8745940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16488702720).

8745940224 is an abundant number, since it is smaller than the sum of its proper divisors (24231465216).

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

8745940224 is an equidigital number, since it uses as much as digits as its factorization.

8745940224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8745940224 is about 93519.7317361422. The cubic root of 8745940224 is about 2060.3239054571.

The spelling of 8745940224 in words is "eight billion, seven hundred forty-five million, nine hundred forty thousand, two hundred twenty-four".