642289272768 has 336 divisors, whose sum is σ = 2235133330080. Its totient is φ = 179660574720.

The previous prime is 642289272767. The next prime is 642289272791. The reversal of 642289272768 is 867272982246.

642289272768 is a `hidden beast` number, since 6 + 422 + 89 + 2 + 72 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642289272763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2599996 + ... + 2836292.

It is an arithmetic number, because the mean of its divisors is an integer number (6652182530).

Almost surely, 2^642289272768 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 642289272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117566665040).

642289272768 is an abundant number, since it is smaller than the sum of its proper divisors (1592844057312).

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

642289272768 is a wasteful number, since it uses less digits than its factorization.

642289272768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236353 (or 236326 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 642289272768 in words is "six hundred forty-two billion, two hundred eighty-nine million, two hundred seventy-two thousand, seven hundred sixty-eight".