6549863746944 has 512 divisors, whose sum is σ = 20859404083200. Its totient is φ = 1781891923968.

The previous prime is 6549863746883. The next prime is 6549863747017. The reversal of 6549863746944 is 4496473689456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2408922417 + ... + 2408925135.

It is an arithmetic number, because the mean of its divisors is an integer number (40741023600).

Almost surely, 2^{6549863746944} is an apocalyptic number.

6549863746944 is a gapful number since it is divisible by the number (64) 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 6549863746944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10429702041600).

6549863746944 is an abundant number, since it is smaller than the sum of its proper divisors (14309540336256).

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

6549863746944 is a wasteful number, since it uses less digits than its factorization.

6549863746944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3278 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 75.

The spelling of 6549863746944 in words is "six trillion, five hundred forty-nine billion, eight hundred sixty-three million, seven hundred forty-six thousand, nine hundred forty-four".