6871253664 has 192 divisors, whose sum is σ = 21508042752. Its totient is φ = 1896345600.

The previous prime is 6871253663. The next prime is 6871253717. The reversal of 6871253664 is 4663521786.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6871253663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550339 + ... + 562685.

It is an arithmetic number, because the mean of its divisors is an integer number (112021056).

Almost surely, 2^6871253664 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 6871253664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10754021376).

6871253664 is an abundant number, since it is smaller than the sum of its proper divisors (14636789088).

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

6871253664 is a wasteful number, since it uses less digits than its factorization.

6871253664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12419 (or 12411 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 6871253664 is about 82893.0254243383. The cubic root of 6871253664 is about 1901.1307824691.

The spelling of 6871253664 in words is "six billion, eight hundred seventy-one million, two hundred fifty-three thousand, six hundred sixty-four".