642843438912 has 280 divisors, whose sum is σ = 2029004588160. Its totient is φ = 200544768000.

The previous prime is 642843438851. The next prime is 642843439003. The reversal of 642843438912 is 219834348246.

It is a happy number.

642843438912 is a `hidden beast` number, since 6 + 4 + 284 + 343 + 8 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15754537 + ... + 15795287.

Almost surely, 2^642843438912 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 642843438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014502294080).

642843438912 is an abundant number, since it is smaller than the sum of its proper divisors (1386161149248).

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

642843438912 is a wasteful number, since it uses less digits than its factorization.

642843438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40971 (or 40952 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 642843438912 in words is "six hundred forty-two billion, eight hundred forty-three million, four hundred thirty-eight thousand, nine hundred twelve".