6005203424 has 48 divisors (see below), whose sum is σ = 12916468656. Its totient is φ = 2725632000.

The previous prime is 6005203417. The next prime is 6005203427. The reversal of 6005203424 is 4243025006.

It is a junction number, because it is equal to n+sod(n) for n = 6005203393 and 6005203402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005203427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234584 + ... + 258920.

It is an arithmetic number, because the mean of its divisors is an integer number (269093097).

Almost surely, 2^6005203424 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 6005203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458234328).

6005203424 is an abundant number, since it is smaller than the sum of its proper divisors (6911265232).

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

6005203424 is a wasteful number, since it uses less digits than its factorization.

6005203424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25059 (or 25051 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 6005203424 is about 77493.2476026137. The cubic root of 6005203424 is about 1817.6457326602.

The spelling of 6005203424 in words is "six billion, five million, two hundred three thousand, four hundred twenty-four".