6442392479328 has 384 divisors, whose sum is σ = 20501224934400. Its totient is φ = 1956349587456.

The previous prime is 6442392479321. The next prime is 6442392479333. The reversal of 6442392479328 is 8239742932446.

6442392479328 is a `hidden beast` number, since 6 + 4 + 4 + 239 + 2 + 4 + 79 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6442392479321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 562796101 + ... + 562807547.

It is an arithmetic number, because the mean of its divisors is an integer number (53388606600).

Almost surely, 2^{6442392479328} 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 6442392479328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10250612467200).

6442392479328 is an abundant number, since it is smaller than the sum of its proper divisors (14058832455072).

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

6442392479328 is a wasteful number, since it uses less digits than its factorization.

6442392479328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12131 (or 12117 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 6442392479328 in words is "six trillion, four hundred forty-two billion, three hundred ninety-two million, four hundred seventy-nine thousand, three hundred twenty-eight".