6871756672 has 64 divisors (see below), whose sum is σ = 14948760960. Its totient is φ = 3120514560.

The previous prime is 6871756631. The next prime is 6871756679. The reversal of 6871756672 is 2766571786.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6871756679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2170963 + ... + 2174125.

It is an arithmetic number, because the mean of its divisors is an integer number (233574390).

Almost surely, 2^6871756672 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 6871756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474380480).

6871756672 is an abundant number, since it is smaller than the sum of its proper divisors (8077004288).

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

6871756672 is a wasteful number, since it uses less digits than its factorization.

6871756672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4719 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 55.

The square root of 6871756672 is about 82896.0594479617. The cubic root of 6871756672 is about 1901.1771719009.

The spelling of 6871756672 in words is "six billion, eight hundred seventy-one million, seven hundred fifty-six thousand, six hundred seventy-two".