6001506144 has 72 divisors (see below), whose sum is σ = 17197171992. Its totient is φ = 1985218560.

The previous prime is 6001506143. The next prime is 6001506169. The reversal of 6001506144 is 4416051006.

6001506144 is a `hidden beast` number, since 600 + 1 + 50 + 6 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001506143) 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 11 ways as a sum of consecutive naturals, for example, 41809 + ... + 117264.

It is an arithmetic number, because the mean of its divisors is an integer number (238849611).

Almost surely, 2^6001506144 is an apocalyptic number.

It is an amenable number.

6001506144 is an abundant number, since it is smaller than the sum of its proper divisors (11195665848).

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

6001506144 is a wasteful number, since it uses less digits than its factorization.

6001506144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159220 (or 159209 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6001506144 is about 77469.3884318187. The cubic root of 6001506144 is about 1817.2726270713.

The spelling of 6001506144 in words is "six billion, one million, five hundred six thousand, one hundred forty-four".