4268582032 has 160 divisors (see below), whose sum is σ = 10009359360. Its totient is φ = 1737884160.

The previous prime is 4268581939. The next prime is 4268582041. The reversal of 4268582032 is 2302858624.

It is a happy number.

It is a super-3 number, since 3×4268582032³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13904023 + ... + 13904329.

It is an arithmetic number, because the mean of its divisors is an integer number (62558496).

Almost surely, 2^4268582032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4268582032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004679680).

4268582032 is an abundant number, since it is smaller than the sum of its proper divisors (5740777328).

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

4268582032 is a wasteful number, since it uses less digits than its factorization.

4268582032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 4268582032 is about 65334.3862908346. The cubic root of 4268582032 is about 1622.1631966541.

The spelling of 4268582032 in words is "four billion, two hundred sixty-eight million, five hundred eighty-two thousand, thirty-two".