6042877344 has 288 divisors, whose sum is σ = 21442337280. Its totient is φ = 1635386112.

The previous prime is 6042877303. The next prime is 6042877361. The reversal of 6042877344 is 4437782406.

6042877344 is a `hidden beast` number, since 604 + 2 + 8 + 7 + 7 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 6042877344.

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, 1031287 + ... + 1037129.

It is an arithmetic number, because the mean of its divisors is an integer number (74452560).

Almost surely, 2^6042877344 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 6042877344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10721168640).

6042877344 is an abundant number, since it is smaller than the sum of its proper divisors (15399459936).

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

6042877344 is a wasteful number, since it uses less digits than its factorization.

6042877344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5894 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 6042877344 is about 77735.9462796974. The cubic root of 6042877344 is about 1821.4388396534.

The spelling of 6042877344 in words is "six billion, forty-two million, eight hundred seventy-seven thousand, three hundred forty-four".