4268008624 has 20 divisors (see below), whose sum is σ = 9021018600. Its totient is φ = 1940003840.

The previous prime is 4268008621. The next prime is 4268008637.

4268008624 is nontrivially palindromic in base 10.

4268008624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4268008624² = 36431795229076746752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4268008621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12124849 + ... + 12125200.

It is an arithmetic number, because the mean of its divisors is an integer number (451050930).

Almost surely, 2^4268008624 is an apocalyptic number.

4268008624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4268008624 is an abundant number, since it is smaller than the sum of its proper divisors (4753009976).

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

4268008624 is a wasteful number, since it uses less digits than its factorization.

4268008624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24250068 (or 24250062 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 4268008624 is about 65329.9978876473. The cubic root of 4268008624 is about 1622.0905571531.

The spelling of 4268008624 in words is "four billion, two hundred sixty-eight million, eight thousand, six hundred twenty-four".