600242404242006 has 192 divisors, whose sum is σ = 1395412592910336. Its totient is φ = 185810481792000.

The previous prime is 600242404242001. The next prime is 600242404242043.

600242404242006 is a `hidden beast` number, since 6 + 0 + 0 + 2 + 4 + 2 + 404 + 242 + 0 + 0 + 6 = 666.

600242404242006 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (600242404242001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 17138503011 + ... + 17138538033.

It is an arithmetic number, because the mean of its divisors is an integer number (7267773921408).

Almost surely, 2^{600242404242006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 600242404242006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697706296455168).

600242404242006 is an abundant number, since it is smaller than the sum of its proper divisors (795170188668330).

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

600242404242006 is a wasteful number, since it uses less digits than its factorization.

600242404242006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37027 (or 37024 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 60024240 and 4242006, that added together give a palindrome (64266246).

The spelling of 600242404242006 in words is "six hundred trillion, two hundred forty-two billion, four hundred four million, two hundred forty-two thousand, six".