4268683584 has 224 divisors, whose sum is σ = 13887175680. Its totient is φ = 1274918400.

The previous prime is 4268683579. The next prime is 4268683603. The reversal of 4268683584 is 4853868624.

It is a super-3 number, since 3×4268683584³ (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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4268683584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1347987 + ... + 1351149.

It is an arithmetic number, because the mean of its divisors is an integer number (61996320).

Almost surely, 2^4268683584 is an apocalyptic number.

4268683584 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 4268683584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943587840).

4268683584 is an abundant number, since it is smaller than the sum of its proper divisors (9618492096).

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

4268683584 is a wasteful number, since it uses less digits than its factorization.

4268683584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3250 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 4268683584 is about 65335.1634573604. The cubic root of 4268683584 is about 1622.1760606145.

The spelling of 4268683584 in words is "four billion, two hundred sixty-eight million, six hundred eighty-three thousand, five hundred eighty-four".