5839464960 has 640 divisors, whose sum is σ = 24159168000. Its totient is φ = 1325776896.

The previous prime is 5839464941. The next prime is 5839464971. The reversal of 5839464960 is 694649385.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5839464897 and 5839464906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39190966 + ... + 39191114.

It is an arithmetic number, because the mean of its divisors is an integer number (37748700).

Almost surely, 2^5839464960 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 5839464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12079584000).

5839464960 is an abundant number, since it is smaller than the sum of its proper divisors (18319703040).

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

5839464960 is an frugal number, since it uses more digits than its factorization.

5839464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 5839464960 is about 76416.3919587938. The cubic root of 5839464960 is about 1800.7676725528.

The spelling of 5839464960 in words is "five billion, eight hundred thirty-nine million, four hundred sixty-four thousand, nine hundred sixty".