6468683051376 has 1080 divisors, whose sum is σ = 25345510064784. Its totient is φ = 1521030389760.

The previous prime is 6468683051371. The next prime is 6468683051419. The reversal of 6468683051376 is 6731503868646.

6468683051376 is a `hidden beast` number, since 6 + 4 + 6 + 86 + 8 + 30 + 513 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468683051371) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 562928991 + ... + 562940481.

Almost surely, 2^{6468683051376} 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 6468683051376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672755032392).

6468683051376 is an abundant number, since it is smaller than the sum of its proper divisors (18876827013408).

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

6468683051376 is a wasteful number, since it uses less digits than its factorization.

6468683051376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11587 (or 11552 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 6468683051376 in words is "six trillion, four hundred sixty-eight billion, six hundred eighty-three million, fifty-one thousand, three hundred seventy-six".