5839842624 has 224 divisors, whose sum is σ = 19459602432. Its totient is φ = 1501440000.

The previous prime is 5839842557. The next prime is 5839842629. The reversal of 5839842624 is 4262489385.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5839842629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1491229 + ... + 1495139.

Almost surely, 2^5839842624 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 5839842624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729801216).

5839842624 is an abundant number, since it is smaller than the sum of its proper divisors (13619759808).

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

5839842624 is a wasteful number, since it uses less digits than its factorization.

5839842624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4035 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 5839842624 is about 76418.8630116937. The cubic root of 5839842624 is about 1800.8064929166.

The spelling of 5839842624 in words is "five billion, eight hundred thirty-nine million, eight hundred forty-two thousand, six hundred twenty-four".