6544768947200 has 264 divisors, whose sum is σ = 17707457557920. Its totient is φ = 2378634854400.

The previous prime is 6544768947193. The next prime is 6544768947229. The reversal of 6544768947200 is 27498674456.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638945279 + ... + 638955521.

Almost surely, 2^{6544768947200} 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 6544768947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8853728778960).

6544768947200 is an abundant number, since it is smaller than the sum of its proper divisors (11162688610720).

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

6544768947200 is a wasteful number, since it uses less digits than its factorization.

6544768947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12553 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 6544768947200 in words is "six trillion, five hundred forty-four billion, seven hundred sixty-eight million, nine hundred forty-seven thousand, two hundred".