4268558624 has 72 divisors (see below), whose sum is σ = 9367856064. Its totient is φ = 1912803200.

The previous prime is 4268558617. The next prime is 4268558629.

4268558624 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4268558624³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4268558629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267149 + ... + 282675.

It is an arithmetic number, because the mean of its divisors is an integer number (130109112).

Almost surely, 2^4268558624 is an apocalyptic number.

4268558624 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 4268558624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683928032).

4268558624 is an abundant number, since it is smaller than the sum of its proper divisors (5099297440).

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

4268558624 is a wasteful number, since it uses less digits than its factorization.

4268558624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15630 (or 15611 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 50.

The square root of 4268558624 is about 65334.2071506190. The cubic root of 4268558624 is about 1622.1602314489.

The spelling of 4268558624 in words is "four billion, two hundred sixty-eight million, five hundred fifty-eight thousand, six hundred twenty-four".