6544346308864 has 405 divisors, whose sum is σ = 16567852786989. Its totient is φ = 2578657536000.

The previous prime is 6544346308823. The next prime is 6544346308867. The reversal of 6544346308864 is 4688036434456.

The square root of 6544346308864 is 2558192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 968098566400 + 5576247742464 = 983920^2 + 2361408^2 .

It is a super-2 number, since 2×6544346308864² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6544346308867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26073092739 + ... + 26073092989.

Almost surely, 2^{6544346308864} is an apocalyptic number.

6544346308864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6544346308864 is the 2558192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6544346308864

6544346308864 is an abundant number, since it is smaller than the sum of its proper divisors (10023506478125).

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

6544346308864 is an frugal number, since it uses more digits than its factorization.

6544346308864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 61.

The spelling of 6544346308864 in words is "six trillion, five hundred forty-four billion, three hundred forty-six million, three hundred eight thousand, eight hundred sixty-four".