7871966828544 has 1728 divisors, whose sum is σ = 28574949312000. Its totient is φ = 1921796997120.

The previous prime is 7871966828527. The next prime is 7871966828587. The reversal of 7871966828544 is 4458286691787.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 253934413809 + ... + 253934413839.

It is an arithmetic number, because the mean of its divisors is an integer number (16536429000).

Almost surely, 2^{7871966828544} 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 7871966828544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287474656000).

7871966828544 is an abundant number, since it is smaller than the sum of its proper divisors (20702982483456).

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

7871966828544 is a wasteful number, since it uses less digits than its factorization.

7871966828544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 79 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 75.

The spelling of 7871966828544 in words is "seven trillion, eight hundred seventy-one billion, nine hundred sixty-six million, eight hundred twenty-eight thousand, five hundred forty-four".