5839267968 has 320 divisors, whose sum is σ = 18554469120. Its totient is φ = 1818685440.

The previous prime is 5839267963. The next prime is 5839267979. The reversal of 5839267968 is 8697629385.

It is a super-4 number, since 4×5839267968⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5839267963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11207548 + ... + 11208068.

It is an arithmetic number, because the mean of its divisors is an integer number (57982716).

Almost surely, 2^5839267968 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 5839267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9277234560).

5839267968 is an abundant number, since it is smaller than the sum of its proper divisors (12715201152).

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

5839267968 is a wasteful number, since it uses less digits than its factorization.

5839267968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 596 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 5839267968 is about 76415.1030098108. The cubic root of 5839267968 is about 1800.7474229342.

The spelling of 5839267968 in words is "five billion, eight hundred thirty-nine million, two hundred sixty-seven thousand, nine hundred sixty-eight".