4224624768 has 768 divisors, whose sum is σ = 16604784000. Its totient is φ = 1045094400.

The previous prime is 4224624743. The next prime is 4224624769. The reversal of 4224624768 is 8674264224.

4224624768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4224624769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41827918 + ... + 41828018.

Almost surely, 2^4224624768 is an apocalyptic number.

4224624768 is a gapful number since it is divisible by the number (48) 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 4224624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302392000).

4224624768 is an abundant number, since it is smaller than the sum of its proper divisors (12380159232).

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

4224624768 is a wasteful number, since it uses less digits than its factorization.

4224624768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 4224624768 is about 64997.1135359102. The cubic root of 4224624768 is about 1616.5757024715.

The spelling of 4224624768 in words is "four billion, two hundred twenty-four million, six hundred twenty-four thousand, seven hundred sixty-eight".