6387882219936 has 648 divisors, whose sum is σ = 22084194603744. Its totient is φ = 1811037553920.

The previous prime is 6387882219893. The next prime is 6387882219937. The reversal of 6387882219936 is 6399122887836.

6387882219936 is a `hidden beast` number, since 6 + 387 + 8 + 8 + 22 + 199 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6387882219937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10123426341 + ... + 10123426971.

It is an arithmetic number, because the mean of its divisors is an integer number (34080547228).

Almost surely, 2^{6387882219936} 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 6387882219936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11042097301872).

6387882219936 is an abundant number, since it is smaller than the sum of its proper divisors (15696312383808).

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

6387882219936 is an equidigital number, since it uses as much as digits as its factorization.

6387882219936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 806 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 6387882219936 in words is "six trillion, three hundred eighty-seven billion, eight hundred eighty-two million, two hundred nineteen thousand, nine hundred thirty-six".