6544935763968 has 600 divisors, whose sum is σ = 21028717687040. Its totient is φ = 1808648110080.

The previous prime is 6544935763967. The next prime is 6544935764009. The reversal of 6544935763968 is 8693675394456.

It is a self number, because there is not a number n which added to its sum of digits gives 6544935763968.

It is not an unprimeable number, because it can be changed into a prime (6544935763963) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3658431618 + ... + 3658433406.

Almost surely, 2^{6544935763968} 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 6544935763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10514358843520).

6544935763968 is an abundant number, since it is smaller than the sum of its proper divisors (14483781923072).

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

6544935763968 is an frugal number, since it uses more digits than its factorization.

6544935763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1832 counting only the distinct ones).

The product of its digits is 3527193600, while the sum is 75.

The spelling of 6544935763968 in words is "six trillion, five hundred forty-four billion, nine hundred thirty-five million, seven hundred sixty-three thousand, nine hundred sixty-eight".