6712112176 has 320 divisors, whose sum is σ = 18243118080. Its totient is φ = 2312110080.

The previous prime is 6712112131. The next prime is 6712112177.

6712112176 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (6712112177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26117040 + ... + 26117296.

It is an arithmetic number, because the mean of its divisors is an integer number (57009744).

Almost surely, 2^6712112176 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 6712112176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9121559040).

6712112176 is an abundant number, since it is smaller than the sum of its proper divisors (11531005904).

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

6712112176 is a wasteful number, since it uses less digits than its factorization.

6712112176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its digits is 7056, while the sum is 34.

The square root of 6712112176 is about 81927.4812013649. The cubic root of 6712112176 is about 1886.3389629789.

It can be divided in two parts, 67121 and 12176, that added together give a palindrome (79297).

The spelling of 6712112176 in words is "six billion, seven hundred twelve million, one hundred twelve thousand, one hundred seventy-six".