6001441875 has 200 divisors, whose sum is σ = 13177219440. Its totient is φ = 2682720000.

The previous prime is 6001441861. The next prime is 6001441889. The reversal of 6001441875 is 5781441006.

It is a happy number.

6001441875 is a `hidden beast` number, since 600 + 1 + 4 + 41 + 8 + 7 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (6001441861) and next prime (6001441889).

It is not a de Polignac number, because 6001441875 - 2¹¹ = 6001439827 is a prime.

It is a super-3 number, since 3×6001441875³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

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 199 ways as a sum of consecutive naturals, for example, 7238961 + ... + 7239789.

Almost surely, 2^6001441875 is an apocalyptic number.

6001441875 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6001441875 is an abundant number, since it is smaller than the sum of its proper divisors (7175777565).

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

6001441875 is a wasteful number, since it uses less digits than its factorization.

6001441875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6001441875 is about 77468.9736281565. The cubic root of 6001441875 is about 1817.2661401046.

The spelling of 6001441875 in words is "six billion, one million, four hundred forty-one thousand, eight hundred seventy-five".