6871593009840 has 640 divisors, whose sum is σ = 25157061844992. Its totient is φ = 1535485870080.

The previous prime is 6871593009781. The next prime is 6871593009859. The reversal of 6871593009840 is 489003951786.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 504774874 + ... + 504788486.

Almost surely, 2^{6871593009840} is an apocalyptic number.

6871593009840 is a gapful number since it is divisible by the number (60) 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 6871593009840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12578530922496).

6871593009840 is an abundant number, since it is smaller than the sum of its proper divisors (18285468835152).

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

6871593009840 is a wasteful number, since it uses less digits than its factorization.

6871593009840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13997 (or 13991 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 6871593009840 in words is "six trillion, eight hundred seventy-one billion, five hundred ninety-three million, nine thousand, eight hundred forty".