42002066336568 has 512 divisors, whose sum is σ = 122295088742400. Its totient is φ = 11907053125632.

The previous prime is 42002066336567. The next prime is 42002066336611. The reversal of 42002066336568 is 86563366020024.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 42002066336568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42002066336567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16198250280 + ... + 16198252872.

It is an arithmetic number, because the mean of its divisors is an integer number (238857595200).

Almost surely, 2^{42002066336568} 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 42002066336568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61147544371200).

42002066336568 is an abundant number, since it is smaller than the sum of its proper divisors (80293022405832).

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

42002066336568 is a wasteful number, since it uses less digits than its factorization.

42002066336568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 42002066336568 in words is "forty-two trillion, two billion, sixty-six million, three hundred thirty-six thousand, five hundred sixty-eight".