4224366720 has 384 divisors, whose sum is σ = 17654682240. Its totient is φ = 908623872.

The previous prime is 4224366719. The next prime is 4224366743. The reversal of 4224366720 is 276634224.

4224366720 is a `hidden beast` number, since 4 + 224 + 366 + 72 + 0 = 666.

4224366720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682359 + ... + 688521.

It is an arithmetic number, because the mean of its divisors is an integer number (45975735).

Almost surely, 2^4224366720 is an apocalyptic number.

4224366720 is a gapful number since it is divisible by the number (40) 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 4224366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8827341120).

4224366720 is an abundant number, since it is smaller than the sum of its proper divisors (13430315520).

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

4224366720 is a wasteful number, since it uses less digits than its factorization.

4224366720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6212 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 4224366720 is about 64995.1284328295. The cubic root of 4224366720 is about 1616.5427873099.

The spelling of 4224366720 in words is "four billion, two hundred twenty-four million, three hundred sixty-six thousand, seven hundred twenty".