6541968807108 has 384 divisors, whose sum is σ = 20758929408000. Its totient is φ = 1777492708992.

The previous prime is 6541968807067. The next prime is 6541968807109. The reversal of 6541968807108 is 8017088691456.

6541968807108 is a `hidden beast` number, since 6 + 541 + 9 + 6 + 8 + 80 + 7 + 1 + 0 + 8 = 666.

It is a super-2 number, since 2×6541968807108² (a number of 26 digits) contains 22 as substring.

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 (6541968807109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 147375885 + ... + 147420267.

It is an arithmetic number, because the mean of its divisors is an integer number (54059712000).

Almost surely, 2^{6541968807108} 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 6541968807108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10379464704000).

6541968807108 is an abundant number, since it is smaller than the sum of its proper divisors (14216960600892).

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

6541968807108 is a wasteful number, since it uses less digits than its factorization.

6541968807108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44613 (or 44591 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 6541968807108 in words is "six trillion, five hundred forty-one billion, nine hundred sixty-eight million, eight hundred seven thousand, one hundred eight".