6468338592 has 60 divisors (see below), whose sum is σ = 19023211746. Its totient is φ = 2156112000.

The previous prime is 6468338543. The next prime is 6468338593. The reversal of 6468338592 is 2958338646.

6468338592 is a `hidden beast` number, since 6 + 46 + 8 + 3 + 3 + 8 + 592 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4478821776 + 1989516816 = 66924^2 + 44604^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6468338593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1245159 + ... + 1250342.

Almost surely, 2^6468338592 is an apocalyptic number.

It is an amenable number.

6468338592 is an abundant number, since it is smaller than the sum of its proper divisors (12554873154).

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

6468338592 is a wasteful number, since it uses less digits than its factorization.

6468338592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495523 (or 2495506 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 6468338592 is about 80425.9820704727. The cubic root of 6468338592 is about 1863.2204769133.

Adding to 6468338592 its sum of digits (54), we get a palindrome (6468338646).

The spelling of 6468338592 in words is "six billion, four hundred sixty-eight million, three hundred thirty-eight thousand, five hundred ninety-two".