4224825864 has 480 divisors, whose sum is σ = 14897520000. Its totient is φ = 1111719168.

The previous prime is 4224825823. The next prime is 4224825887. The reversal of 4224825864 is 4685284224.

4224825864 is a `hidden beast` number, since 4 + 22 + 48 + 2 + 586 + 4 = 666.

It is a super-2 number, since 2×4224825864² = 35698307162246692992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28354462 + ... + 28354610.

It is an arithmetic number, because the mean of its divisors is an integer number (31036500).

Almost surely, 2^4224825864 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 4224825864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7448760000).

4224825864 is an abundant number, since it is smaller than the sum of its proper divisors (10672694136).

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

4224825864 is a wasteful number, since it uses less digits than its factorization.

4224825864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The square root of 4224825864 is about 64998.6604785052. The cubic root of 4224825864 is about 1616.6013522248.

The spelling of 4224825864 in words is "four billion, two hundred twenty-four million, eight hundred twenty-five thousand, eight hundred sixty-four".