6975344435796 has 144 divisors (see below), whose sum is σ = 19586041465536. Its totient is φ = 2092811160000.

The previous prime is 6975344435777. The next prime is 6975344435797.

6975344435796 is a `hidden beast` number, since 6 + 9 + 7 + 5 + 3 + 4 + 4 + 43 + 579 + 6 = 666.

6975344435796 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6975344435797) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4118851 + ... + 5560181.

It is an arithmetic number, because the mean of its divisors is an integer number (136014176844).

Almost surely, 2^{6975344435796} is an apocalyptic number.

6975344435796 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 6975344435796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9793020732768).

6975344435796 is an abundant number, since it is smaller than the sum of its proper divisors (12610697029740).

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

6975344435796 is a wasteful number, since it uses less digits than its factorization.

6975344435796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441475 (or 1441448 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 72.

The spelling of 6975344435796 in words is "six trillion, nine hundred seventy-five billion, three hundred forty-four million, four hundred thirty-five thousand, seven hundred ninety-six".