6386196668544 has 864 divisors, whose sum is σ = 23568871107600. Its totient is φ = 1653705123840.

The previous prime is 6386196668531. The next prime is 6386196668611. The reversal of 6386196668544 is 4458666916836.

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

It is an unprimeable number.

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, 2588647599 + ... + 2588650065.

Almost surely, 2^{6386196668544} is an apocalyptic number.

6386196668544 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 6386196668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784435553800).

6386196668544 is an abundant number, since it is smaller than the sum of its proper divisors (17182674439056).

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

6386196668544 is a wasteful number, since it uses less digits than its factorization.

6386196668544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2869 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 6386196668544 in words is "six trillion, three hundred eighty-six billion, one hundred ninety-six million, six hundred sixty-eight thousand, five hundred forty-four".