6004135340 has 96 divisors (see below), whose sum is σ = 14627257344. Its totient is φ = 2027669760.

The previous prime is 6004135339. The next prime is 6004135363. The reversal of 6004135340 is 435314006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5658410 + ... + 5659470.

It is an arithmetic number, because the mean of its divisors is an integer number (152367264).

Almost surely, 2^6004135340 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 6004135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313628672).

6004135340 is an abundant number, since it is smaller than the sum of its proper divisors (8623122004).

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

6004135340 is a wasteful number, since it uses less digits than its factorization.

6004135340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 6004135340 is about 77486.3558312042. The cubic root of 6004135340 is about 1817.5379642635.

Adding to 6004135340 its reverse (435314006), we get a palindrome (6439449346).

The spelling of 6004135340 in words is "six billion, four million, one hundred thirty-five thousand, three hundred forty".