6468131045376 has 1680 divisors, whose sum is σ = 26088877788288. Its totient is φ = 1547934105600.

The previous prime is 6468131045357. The next prime is 6468131045393. The reversal of 6468131045376 is 6735401318646.

6468131045376 is a `hidden beast` number, since 6 + 46 + 81 + 3 + 1 + 0 + 453 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11955879666 + ... + 11955880206.

Almost surely, 2^{6468131045376} is an apocalyptic number.

6468131045376 is a gapful number since it is divisible by the number (66) 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 6468131045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13044438894144).

6468131045376 is an abundant number, since it is smaller than the sum of its proper divisors (19620746742912).

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

6468131045376 is an equidigital number, since it uses as much as digits as its factorization.

6468131045376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 6468131045376 in words is "six trillion, four hundred sixty-eight billion, one hundred thirty-one million, forty-five thousand, three hundred seventy-six".