6442936443392 has 120 divisors (see below), whose sum is σ = 13680528566100. Its totient is φ = 3030763438080.

The previous prime is 6442936443379. The next prime is 6442936443407. The reversal of 6442936443392 is 2933446392446.

It can be written as a sum of positive squares in 6 ways, for example, as 1314269645056 + 5128666798336 = 1146416^2 + 2264656^2 .

It is a super-2 number, since 2×6442936443392² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451147292 + ... + 451161572.

Almost surely, 2^{6442936443392} 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 6442936443392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840264283050).

6442936443392 is an abundant number, since it is smaller than the sum of its proper divisors (7237592122708).

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

6442936443392 is a wasteful number, since it uses less digits than its factorization.

6442936443392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17382 (or 17349 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 59.

The spelling of 6442936443392 in words is "six trillion, four hundred forty-two billion, nine hundred thirty-six million, four hundred forty-three thousand, three hundred ninety-two".