4263663624 has 128 divisors (see below), whose sum is σ = 12221383680. Its totient is φ = 1227744000.

The previous prime is 4263663619. The next prime is 4263663727.

4263663624 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414949 + ... + 425099.

It is an arithmetic number, because the mean of its divisors is an integer number (95479560).

Almost surely, 2^4263663624 is an apocalyptic number.

4263663624 is a gapful number since it is divisible by the number (44) 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 4263663624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110691840).

4263663624 is an abundant number, since it is smaller than the sum of its proper divisors (7957720056).

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

4263663624 is a wasteful number, since it uses less digits than its factorization.

4263663624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10251 (or 10247 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The square root of 4263663624 is about 65296.7351710635. The cubic root of 4263663624 is about 1621.5399196737.

The spelling of 4263663624 in words is "four billion, two hundred sixty-three million, six hundred sixty-three thousand, six hundred twenty-four".