6777879682112 has 224 divisors, whose sum is σ = 17134224710400. Its totient is φ = 2583448657920.

The previous prime is 6777879682111. The next prime is 6777879682121. The reversal of 6777879682112 is 2112869787776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6777879682111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91116038 + ... + 91190394.

It is an arithmetic number, because the mean of its divisors is an integer number (76492074600).

Almost surely, 2^{6777879682112} 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 6777879682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8567112355200).

6777879682112 is an abundant number, since it is smaller than the sum of its proper divisors (10356345028288).

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

6777879682112 is a wasteful number, since it uses less digits than its factorization.

6777879682112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74789 (or 74779 counting only the distinct ones).

The product of its digits is 199148544, while the sum is 71.

The spelling of 6777879682112 in words is "six trillion, seven hundred seventy-seven billion, eight hundred seventy-nine million, six hundred eighty-two thousand, one hundred twelve".