6001175040 has 480 divisors, whose sum is σ = 22973601024. Its totient is φ = 1331527680.

The previous prime is 6001175027. The next prime is 6001175057. The reversal of 6001175040 is 405711006.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6001175040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13923625 + ... + 13924055.

Almost surely, 2^6001175040 is an apocalyptic number.

6001175040 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 6001175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11486800512).

6001175040 is an abundant number, since it is smaller than the sum of its proper divisors (16972425984).

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

6001175040 is a wasteful number, since it uses less digits than its factorization.

6001175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 6001175040 is about 77467.2514034156. The cubic root of 6001175040 is about 1817.2392067217.

Adding to 6001175040 its reverse (405711006), we get a palindrome (6406886046).

The spelling of 6001175040 in words is "six billion, one million, one hundred seventy-five thousand, forty".