6442984768 has 168 divisors, whose sum is σ = 15049881000. Its totient is φ = 2724986880.

The previous prime is 6442984693. The next prime is 6442984787. The reversal of 6442984768 is 8674892446.

It can be written as a sum of positive squares in 4 ways, for example, as 2659258624 + 3783726144 = 51568^2 + 61512^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14349408 + ... + 14349856.

It is an arithmetic number, because the mean of its divisors is an integer number (89582625).

Almost surely, 2^6442984768 is an apocalyptic number.

6442984768 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6442984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524940500).

6442984768 is an abundant number, since it is smaller than the sum of its proper divisors (8606896232).

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

6442984768 is a wasteful number, since it uses less digits than its factorization.

6442984768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 588 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 58.

The square root of 6442984768 is about 80268.2052122757. The cubic root of 6442984768 is about 1860.7828792865.

The spelling of 6442984768 in words is "six billion, four hundred forty-two million, nine hundred eighty-four thousand, seven hundred sixty-eight".