6756138183168 has 240 divisors, whose sum is σ = 21292075202112. Its totient is φ = 2045313024000.

The previous prime is 6756138183107. The next prime is 6756138183217. The reversal of 6756138183168 is 8613818316576.

6756138183168 is a `hidden beast` number, since 6 + 7 + 5 + 613 + 8 + 1 + 8 + 3 + 1 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52194688 + ... + 52323968.

Almost surely, 2^{6756138183168} 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 6756138183168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10646037601056).

6756138183168 is an abundant number, since it is smaller than the sum of its proper divisors (14535937018944).

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

6756138183168 is a wasteful number, since it uses less digits than its factorization.

6756138183168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130347 (or 130328 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 6756138183168 in words is "six trillion, seven hundred fifty-six billion, one hundred thirty-eight million, one hundred eighty-three thousand, one hundred sixty-eight".