6544940556168 has 768 divisors, whose sum is σ = 23092830432000. Its totient is φ = 1705765920768.

The previous prime is 6544940556163. The next prime is 6544940556247. The reversal of 6544940556168 is 8616550494456.

6544940556168 is a `hidden beast` number, since 6 + 5 + 4 + 4 + 9 + 4 + 0 + 5 + 5 + 616 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6544940556163) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 791499138 + ... + 791507406.

It is an arithmetic number, because the mean of its divisors is an integer number (30068789625).

Almost surely, 2^{6544940556168} is an apocalyptic number.

6544940556168 is a gapful number since it is divisible by the number (68) 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 6544940556168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11546415216000).

6544940556168 is an abundant number, since it is smaller than the sum of its proper divisors (16547889875832).

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

6544940556168 is a wasteful number, since it uses less digits than its factorization.

6544940556168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8451 (or 8434 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 6544940556168 in words is "six trillion, five hundred forty-four billion, nine hundred forty million, five hundred fifty-six thousand, one hundred sixty-eight".