4268888624 has 360 divisors, whose sum is σ = 11873815920. Its totient is φ = 1467648000.

The previous prime is 4268888623. The next prime is 4268888651.

It is a happy number.

4268888624 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4268888624³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 4268888624.

It is not an unprimeable number, because it can be changed into a prime (4268888623) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42266174 + ... + 42266274.

It is an arithmetic number, because the mean of its divisors is an integer number (32982822).

Almost surely, 2^4268888624 is an apocalyptic number.

4268888624 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 4268888624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936907960).

4268888624 is an abundant number, since it is smaller than the sum of its proper divisors (7604927296).

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

4268888624 is a wasteful number, since it uses less digits than its factorization.

4268888624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 56.

The square root of 4268888624 is about 65336.7325782366. The cubic root of 4268888624 is about 1622.2020331537.

The spelling of 4268888624 in words is "four billion, two hundred sixty-eight million, eight hundred eighty-eight thousand, six hundred twenty-four".