6545944032768 has 960 divisors, whose sum is σ = 23428335490560. Its totient is φ = 1766766919680.

The previous prime is 6545944032707. The next prime is 6545944032773. The reversal of 6545944032768 is 8672304495456.

6545944032768 is a `hidden beast` number, since 6 + 5 + 4 + 594 + 4 + 0 + 32 + 7 + 6 + 8 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3998743246 + ... + 3998744882.

It is an arithmetic number, because the mean of its divisors is an integer number (24404516136).

Almost surely, 2^{6545944032768} 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 6545944032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11714167745280).

6545944032768 is an abundant number, since it is smaller than the sum of its proper divisors (16882391457792).

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

6545944032768 is a wasteful number, since it uses less digits than its factorization.

6545944032768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 6545944032768 in words is "six trillion, five hundred forty-five billion, nine hundred forty-four million, thirty-two thousand, seven hundred sixty-eight".