6779339776 has 132 divisors (see below), whose sum is σ = 15184973520. Its totient is φ = 2999296000.

The previous prime is 6779339771. The next prime is 6779339839.

6779339776 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (6779339771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67122126 + ... + 67122226.

Almost surely, 2^6779339776 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 6779339776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7592486760).

6779339776 is an abundant number, since it is smaller than the sum of its proper divisors (8405633744).

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

6779339776 is a wasteful number, since it uses less digits than its factorization.

6779339776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 173 counting only the distinct ones).

The product of its digits is 63011844, while the sum is 64.

The square root of 6779339776 is about 82336.7462072676. The cubic root of 6779339776 is about 1892.6158245765.

The spelling of 6779339776 in words is "six billion, seven hundred seventy-nine million, three hundred thirty-nine thousand, seven hundred seventy-six".