6468603982848 has 792 divisors, whose sum is σ = 22293164709504. Its totient is φ = 1769441034240.

The previous prime is 6468603982811. The next prime is 6468603982861. The reversal of 6468603982848 is 8482893068646.

It is a happy number.

6468603982848 is a `hidden beast` number, since 6 + 4 + 6 + 8 + 603 + 9 + 8 + 2 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×6468603982848² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6385590790 + ... + 6385591802.

Almost surely, 2^{6468603982848} 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 6468603982848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11146582354752).

6468603982848 is an abundant number, since it is smaller than the sum of its proper divisors (15824560726656).

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

6468603982848 is a wasteful number, since it uses less digits than its factorization.

6468603982848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 6468603982848 in words is "six trillion, four hundred sixty-eight billion, six hundred three million, nine hundred eighty-two thousand, eight hundred forty-eight".