6776879616 has 480 divisors, whose sum is σ = 22521058560. Its totient is φ = 1946714112.

The previous prime is 6776879567. The next prime is 6776879621. The reversal of 6776879616 is 6169786776.

6776879616 is a `hidden beast` number, since 6 + 7 + 7 + 6 + 8 + 7 + 9 + 616 = 666.

Its product of digits (32006016) is a multiple of the sum of its prime factors (196).

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 47 ways as a sum of consecutive naturals, for example, 81649111 + ... + 81649193.

It is an arithmetic number, because the mean of its divisors is an integer number (46918872).

Almost surely, 2^6776879616 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 6776879616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11260529280).

6776879616 is an abundant number, since it is smaller than the sum of its proper divisors (15744178944).

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

6776879616 is a wasteful number, since it uses less digits than its factorization.

6776879616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The square root of 6776879616 is about 82321.8052280196. The cubic root of 6776879616 is about 1892.3868592575.

The spelling of 6776879616 in words is "six billion, seven hundred seventy-six million, eight hundred seventy-nine thousand, six hundred sixteen".