6386882779968 has 112 divisors (see below), whose sum is σ = 17137358542080. Its totient is φ = 2099060992000.

The previous prime is 6386882779957. The next prime is 6386882780009. The reversal of 6386882779968 is 8699772886836.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3945658 + ... + 5323718.

It is an arithmetic number, because the mean of its divisors is an integer number (153012129840).

Almost surely, 2^{6386882779968} 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 6386882779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8568679271040).

6386882779968 is an abundant number, since it is smaller than the sum of its proper divisors (10750475762112).

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

6386882779968 is a wasteful number, since it uses less digits than its factorization.

6386882779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378416 (or 1378406 counting only the distinct ones).

The product of its digits is 21069103104, while the sum is 87.

The spelling of 6386882779968 in words is "six trillion, three hundred eighty-six billion, eight hundred eighty-two million, seven hundred seventy-nine thousand, nine hundred sixty-eight".