6005321280 has 336 divisors, whose sum is σ = 23879007360. Its totient is φ = 1356816384.

The previous prime is 6005321243. The next prime is 6005321293. The reversal of 6005321280 is 821235006.

6005321280 is a `hidden beast` number, since 6 + 0 + 0 + 532 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1792567 + ... + 1795913.

Almost surely, 2^6005321280 is an apocalyptic number.

6005321280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6005321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11939503680).

6005321280 is an abundant number, since it is smaller than the sum of its proper divisors (17873686080).

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

6005321280 is a wasteful number, since it uses less digits than its factorization.

6005321280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6005321280 is about 77494.0080264274. The cubic root of 6005321280 is about 1817.6576234066.

Adding to 6005321280 its reverse (821235006), we get a palindrome (6826556286).

The spelling of 6005321280 in words is "six billion, five million, three hundred twenty-one thousand, two hundred eighty".