6717131672000 has 112 divisors (see below), whose sum is σ = 16666793805792. Its totient is φ = 2681713612800.

The previous prime is 6717131671981. The next prime is 6717131672029. The reversal of 6717131672000 is 2761317176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3381284 + ... + 4986716.

Almost surely, 2^{6717131672000} 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 6717131672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8333396902896).

6717131672000 is an abundant number, since it is smaller than the sum of its proper divisors (9949662133792).

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

6717131672000 is a wasteful number, since it uses less digits than its factorization.

6717131672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605983 (or 1605963 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 41.

Adding to 6717131672000 its reverse (2761317176), we get a palindrome (6719892989176).

The spelling of 6717131672000 in words is "six trillion, seven hundred seventeen billion, one hundred thirty-one million, six hundred seventy-two thousand".