5668460926128 has 1440 divisors, whose sum is σ = 22361168793600. Its totient is φ = 1349840194560.

The previous prime is 5668460926123. The next prime is 5668460926147. The reversal of 5668460926128 is 8216290648665.

5668460926128 is a `hidden beast` number, since 5 + 6 + 6 + 8 + 4 + 6 + 0 + 9 + 2 + 612 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5668460926123) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10068313975 + ... + 10068314537.

It is an arithmetic number, because the mean of its divisors is an integer number (15528589440).

Almost surely, 2^{5668460926128} 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 5668460926128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11180584396800).

5668460926128 is an abundant number, since it is smaller than the sum of its proper divisors (16692707867472).

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

5668460926128 is a wasteful number, since it uses less digits than its factorization.

5668460926128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 5668460926128 in words is "five trillion, six hundred sixty-eight billion, four hundred sixty million, nine hundred twenty-six thousand, one hundred twenty-eight".