6871947672 has 64 divisors (see below), whose sum is σ = 18261508320. Its totient is φ = 2147483648.

The previous prime is 6871947653. The next prime is 6871947673. The reversal of 6871947672 is 2767491786.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6871947673) by changing a digit.

In principle, a polygon with 6871947672 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72088 + ... + 137624.

Almost surely, 2^6871947672 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 6871947672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9130754160).

6871947672 is an abundant number, since it is smaller than the sum of its proper divisors (11389560648).

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

6871947672 is a wasteful number, since it uses less digits than its factorization.

6871947672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65820 (or 65816 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 57.

The square root of 6871947672 is about 82897.2114850675. The cubic root of 6871947672 is about 1901.1947861002.

The spelling of 6871947672 in words is "six billion, eight hundred seventy-one million, nine hundred forty-seven thousand, six hundred seventy-two".