6544864972800 has 2496 divisors, whose sum is σ = 30468569886720. Its totient is φ = 1337720832000.

The previous prime is 6544864972783. The next prime is 6544864972813. The reversal of 6544864972800 is 82794684456.

6544864972800 is a `hidden beast` number, since 6 + 5 + 4 + 486 + 4 + 9 + 72 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 15115161384 + ... + 15115161816.

Almost surely, 2^{6544864972800} is an apocalyptic number.

6544864972800 is a gapful number since it is divisible by the number (60) 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 6544864972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15234284943360).

6544864972800 is an abundant number, since it is smaller than the sum of its proper divisors (23923704913920).

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

6544864972800 is a wasteful number, since it uses less digits than its factorization.

6544864972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 6544864972800 in words is "six trillion, five hundred forty-four billion, eight hundred sixty-four million, nine hundred seventy-two thousand, eight hundred".