4224708864 has 216 divisors, whose sum is σ = 12849422040. Its totient is φ = 1332903936.

The previous prime is 4224708863. The next prime is 4224708869. The reversal of 4224708864 is 4688074224.

4224708864 is a `hidden beast` number, since 42 + 2 + 470 + 88 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1065369600 + 3159339264 = 32640^2 + 56208^2 .

It is not an unprimeable number, because it can be changed into a prime (4224708863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3540652 + ... + 3541844.

It is an arithmetic number, because the mean of its divisors is an integer number (59488065).

Almost surely, 2^4224708864 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 4224708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424711020).

4224708864 is an abundant number, since it is smaller than the sum of its proper divisors (8624713176).

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

4224708864 is a wasteful number, since it uses less digits than its factorization.

4224708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 4224708864 is about 64997.7604537264. The cubic root of 4224708864 is about 1616.5864289980.

The spelling of 4224708864 in words is "four billion, two hundred twenty-four million, seven hundred eight thousand, eight hundred sixty-four".