6548944356864 has 1920 divisors, whose sum is σ = 26175904634880. Its totient is φ = 1526304079872.

The previous prime is 6548944356853. The next prime is 6548944356907. The reversal of 6548944356864 is 4686534498456.

It is a happy number.

6548944356864 is a `hidden beast` number, since 6 + 5 + 48 + 94 + 435 + 6 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6548944356792 and 6548944356801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9673477294 + ... + 9673477970.

It is an arithmetic number, because the mean of its divisors is an integer number (13633283664).

Almost surely, 2^{6548944356864} is an apocalyptic number.

6548944356864 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 6548944356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13087952317440).

6548944356864 is an abundant number, since it is smaller than the sum of its proper divisors (19626960278016).

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

6548944356864 is a wasteful number, since it uses less digits than its factorization.

6548944356864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 801 counting only the distinct ones).

The product of its digits is 2388787200, while the sum is 72.

The spelling of 6548944356864 in words is "six trillion, five hundred forty-eight billion, nine hundred forty-four million, three hundred fifty-six thousand, eight hundred sixty-four".