6000877872 has 300 divisors, whose sum is σ = 20222721288. Its totient is φ = 1710720000.

The previous prime is 6000877853. The next prime is 6000877877. The reversal of 6000877872 is 2787780006.

It is not an unprimeable number, because it can be changed into a prime (6000877877) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2664747 + ... + 2666997.

Almost surely, 2^6000877872 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 6000877872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10111360644).

6000877872 is an abundant number, since it is smaller than the sum of its proper divisors (14221843416).

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

6000877872 is a wasteful number, since it uses less digits than its factorization.

6000877872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 6000877872 is about 77465.3333562827. Note that the first 4 decimals coincide. The cubic root of 6000877872 is about 1817.2092106931.

The spelling of 6000877872 in words is "six billion, eight hundred seventy-seven thousand, eight hundred seventy-two".