642066202024 has 64 divisors (see below), whose sum is σ = 1322522208000. Its totient is φ = 292163901120.

The previous prime is 642066201991. The next prime is 642066202031. The reversal of 642066202024 is 420202660246.

642066202024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×642066202024³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990637 + ... + 1505155.

It is an arithmetic number, because the mean of its divisors is an integer number (20664409500).

Almost surely, 2^642066202024 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 642066202024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661261104000).

642066202024 is an abundant number, since it is smaller than the sum of its proper divisors (680456005976).

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

642066202024 is a wasteful number, since it uses less digits than its factorization.

642066202024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514635 (or 514605 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 642066202024 in words is "six hundred forty-two billion, sixty-six million, two hundred two thousand, twenty-four".