6005320992 has 576 divisors, whose sum is σ = 21235737600. Its totient is φ = 1642291200.

The previous prime is 6005320967. The next prime is 6005321033. The reversal of 6005320992 is 2990235006.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 55094634 + ... + 55094742.

It is an arithmetic number, because the mean of its divisors is an integer number (36867600).

Almost surely, 2^6005320992 is an apocalyptic number.

6005320992 is a gapful number since it is divisible by the number (62) 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 6005320992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617868800).

6005320992 is an abundant number, since it is smaller than the sum of its proper divisors (15230416608).

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

6005320992 is a wasteful number, since it uses less digits than its factorization.

6005320992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 6005320992 is about 77494.0061682192. The cubic root of 6005320992 is about 1817.6575943499.

Adding to 6005320992 its reverse (2990235006), we get a palindrome (8995555998).

The spelling of 6005320992 in words is "six billion, five million, three hundred twenty thousand, nine hundred ninety-two".