6001006068 has 96 divisors (see below), whose sum is σ = 15746572800. Its totient is φ = 1976260608.

The previous prime is 6001006051. The next prime is 6001006079. The reversal of 6001006068 is 8606001006.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3535396 + ... + 3537092.

It is an arithmetic number, because the mean of its divisors is an integer number (164026800).

Almost surely, 2^6001006068 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 6001006068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7873286400).

6001006068 is an abundant number, since it is smaller than the sum of its proper divisors (9745566732).

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

6001006068 is a wasteful number, since it uses less digits than its factorization.

6001006068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6001006068 is about 77466.1607929553. The cubic root of 6001006068 is about 1817.2221508716. Note that the first 3 decimals are identical.

The spelling of 6001006068 in words is "six billion, one million, six thousand, sixty-eight".