6005776320 has 448 divisors, whose sum is σ = 23174553600. Its totient is φ = 1457602560.

The previous prime is 6005776277. The next prime is 6005776327. The reversal of 6005776320 is 236775006.

It is a happy number.

6005776320 is a `hidden beast` number, since 6 + 0 + 0 + 577 + 63 + 20 = 666.

It is a super-3 number, since 3×6005776320³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005776327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4552621 + ... + 4553939.

Almost surely, 2^6005776320 is an apocalyptic number.

6005776320 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 6005776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11587276800).

6005776320 is an abundant number, since it is smaller than the sum of its proper divisors (17168777280).

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

6005776320 is a wasteful number, since it uses less digits than its factorization.

6005776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 6005776320 is about 77496.9439397451. The cubic root of 6005776320 is about 1817.7035319155.

The spelling of 6005776320 in words is "six billion, five million, seven hundred seventy-six thousand, three hundred twenty".