6000024960 has 96 divisors (see below), whose sum is σ = 20718856080. Its totient is φ = 1600005120.

The previous prime is 6000024959. The next prime is 6000025039. The reversal of 6000024960 is 694200006.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 515076 + ... + 526595.

Almost surely, 2^6000024960 is an apocalyptic number.

6000024960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6000024960 is an abundant number, since it is smaller than the sum of its proper divisors (14718831120).

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

6000024960 is a wasteful number, since it uses less digits than its factorization.

6000024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041696 (or 1041681 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6000024960 is about 77459.8280400880. The cubic root of 6000024960 is about 1817.1231125692.

Adding to 6000024960 its reverse (694200006), we get a palindrome (6694224966).

The spelling of 6000024960 in words is "six billion, twenty-four thousand, nine hundred sixty".