6008970798006 has 48 divisors (see below), whose sum is σ = 13531993970544. Its totient is φ = 1776488032000.

The previous prime is 6008970797969. The next prime is 6008970798121.

6008970798006 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6008970798006² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100907055 + ... + 100966586.

It is an arithmetic number, because the mean of its divisors is an integer number (281916541053).

Almost surely, 2^{6008970798006} is an apocalyptic number.

6008970798006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6008970798006 is an abundant number, since it is smaller than the sum of its proper divisors (7523023172538).

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

6008970798006 is a wasteful number, since it uses less digits than its factorization.

6008970798006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201873709 (or 201873698 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 6008970798006 in words is "six trillion, eight billion, nine hundred seventy million, seven hundred ninety-eight thousand, six".