6871288579584 has 320 divisors, whose sum is σ = 21558675156480. Its totient is φ = 1917314334720.

The previous prime is 6871288579559. The next prime is 6871288579609. The reversal of 6871288579584 is 4859758821786.

It is an interprime number because it is at equal distance from previous prime (6871288579559) and next prime (6871288579609).

It is a super-2 number, since 2×6871288579584² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89797789 + ... + 89874275.

It is an arithmetic number, because the mean of its divisors is an integer number (67370859864).

Almost surely, 2^{6871288579584} is an apocalyptic number.

6871288579584 is a gapful number since it is divisible by the number (64) 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 6871288579584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10779337578240).

6871288579584 is an abundant number, since it is smaller than the sum of its proper divisors (14687386576896).

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

6871288579584 is a wasteful number, since it uses less digits than its factorization.

6871288579584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76941 (or 76925 counting only the distinct ones).

The product of its digits is 2167603200, while the sum is 78.

The spelling of 6871288579584 in words is "six trillion, eight hundred seventy-one billion, two hundred eighty-eight million, five hundred seventy-nine thousand, five hundred eighty-four".