6871738752 has 192 divisors, whose sum is σ = 20538360960. Its totient is φ = 2202992640.

The previous prime is 6871738747. The next prime is 6871738771. The reversal of 6871738752 is 2578371786.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6891918 + ... + 6892914.

It is an arithmetic number, because the mean of its divisors is an integer number (106970630).

Almost surely, 2^6871738752 is an apocalyptic number.

6871738752 is a gapful number since it is divisible by the number (62) 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 6871738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10269180480).

6871738752 is an abundant number, since it is smaller than the sum of its proper divisors (13666622208).

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

6871738752 is a wasteful number, since it uses less digits than its factorization.

6871738752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1226 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The square root of 6871738752 is about 82895.9513607269. The cubic root of 6871738752 is about 1901.1755192849.

The spelling of 6871738752 in words is "six billion, eight hundred seventy-one million, seven hundred thirty-eight thousand, seven hundred fifty-two".