6779632369776 has 320 divisors, whose sum is σ = 22103099596800. Its totient is φ = 1746851097600.

The previous prime is 6779632369753. The next prime is 6779632369793.

6779632369776 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12886771 + ... + 13402541.

It is an arithmetic number, because the mean of its divisors is an integer number (69072186240).

Almost surely, 2^{6779632369776} 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 6779632369776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11051549798400).

6779632369776 is an abundant number, since it is smaller than the sum of its proper divisors (15323467227024).

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

6779632369776 is a wasteful number, since it uses less digits than its factorization.

6779632369776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515908 (or 515902 counting only the distinct ones).

The product of its digits is 4536852768, while the sum is 78.

The spelling of 6779632369776 in words is "six trillion, seven hundred seventy-nine billion, six hundred thirty-two million, three hundred sixty-nine thousand, seven hundred seventy-six".