6546839867568 has 1440 divisors, whose sum is σ = 26549256988800. Its totient is φ = 1460203683840.

The previous prime is 6546839867527. The next prime is 6546839867597. The reversal of 6546839867568 is 8657689386456.

6546839867568 is a `hidden beast` number, since 6 + 5 + 46 + 8 + 3 + 9 + 8 + 6 + 7 + 568 = 666.

It is a super-2 number, since 2×6546839867568² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2398987228 + ... + 2398989956.

It is an arithmetic number, because the mean of its divisors is an integer number (18436984020).

Almost surely, 2^{6546839867568} is an apocalyptic number.

6546839867568 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 6546839867568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274628494400).

6546839867568 is an abundant number, since it is smaller than the sum of its proper divisors (20002417121232).

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

6546839867568 is a wasteful number, since it uses less digits than its factorization.

6546839867568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2871 counting only the distinct ones).

The product of its digits is 12541132800, while the sum is 81.

The spelling of 6546839867568 in words is "six trillion, five hundred forty-six billion, eight hundred thirty-nine million, eight hundred sixty-seven thousand, five hundred sixty-eight".