6871083664 has 135 divisors (see below), whose sum is σ = 15067685563. Its totient is φ = 3034510336.

The previous prime is 6871083623. The next prime is 6871083671. The reversal of 6871083664 is 4663801786.

The square root of 6871083664 is 82892.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1721586064 + 5149497600 = 41492^2 + 71760^2 .

It is a Duffinian number.

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, 129643062 + ... + 129643114.

Almost surely, 2^6871083664 is an apocalyptic number.

6871083664 is the 82892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6871083664

6871083664 is an abundant number, since it is smaller than the sum of its proper divisors (8196601899).

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

6871083664 is a wasteful number, since it uses less digits than its factorization.

6871083664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The cubic root of 6871083664 is about 1901.1151038699.

Multiplying 6871083664 by its sum of digits (49), we get a square (336683099536 = 580244²).

The spelling of 6871083664 in words is "six billion, eight hundred seventy-one million, eighty-three thousand, six hundred sixty-four".