6871746816 has 243 divisors, whose sum is σ = 21917455833. Its totient is φ = 2069084160.

The previous prime is 6871746799. The next prime is 6871746829. The reversal of 6871746816 is 6186471786.

The square root of 6871746816 is 82896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2014214400 + 4857532416 = 44880^2 + 69696^2 .

It is a super-2 number, since 2×6871746816² = 94441808606412275712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43769010 + ... + 43769166.

Almost surely, 2^6871746816 is an apocalyptic number.

6871746816 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6871746816 is the 82896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6871746816

6871746816 is an abundant number, since it is smaller than the sum of its proper divisors (15045709017).

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

6871746816 is a wasteful number, since it uses less digits than its factorization.

6871746816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 173 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The cubic root of 6871746816 is about 1901.1762629625.

The spelling of 6871746816 in words is "six billion, eight hundred seventy-one million, seven hundred forty-six thousand, eight hundred sixteen".