6871596748920 has 96 divisors (see below), whose sum is σ = 23303675959200. Its totient is φ = 1752755110656.

The previous prime is 6871596748879. The next prime is 6871596748927. The reversal of 6871596748920 is 298476951786.

6871596748920 is a `hidden beast` number, since 6 + 8 + 7 + 1 + 596 + 7 + 4 + 8 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6871596748927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 414943215 + ... + 414959774.

It is an arithmetic number, because the mean of its divisors is an integer number (242746624575).

Almost surely, 2^{6871596748920} is an apocalyptic number.

6871596748920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6871596748920 is an abundant number, since it is smaller than the sum of its proper divisors (16432079210280).

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

6871596748920 is a wasteful number, since it uses less digits than its factorization.

6871596748920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829903029 (or 829903022 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 6871596748920 in words is "six trillion, eight hundred seventy-one billion, five hundred ninety-six million, seven hundred forty-eight thousand, nine hundred twenty".