6771679637984 has 96 divisors (see below), whose sum is σ = 14184315129600. Its totient is φ = 3171279247360.

The previous prime is 6771679637971. The next prime is 6771679637993. The reversal of 6771679637984 is 4897369761776.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6771679637899 and 6771679637908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95855027 + ... + 95925645.

It is an arithmetic number, because the mean of its divisors is an integer number (147753282600).

Almost surely, 2^{6771679637984} 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 6771679637984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092157564800).

6771679637984 is an abundant number, since it is smaller than the sum of its proper divisors (7412635491616).

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

6771679637984 is a wasteful number, since it uses less digits than its factorization.

6771679637984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71496 (or 71488 counting only the distinct ones).

The product of its digits is 4032758016, while the sum is 80.

The spelling of 6771679637984 in words is "six trillion, seven hundred seventy-one billion, six hundred seventy-nine million, six hundred thirty-seven thousand, nine hundred eighty-four".