6777788877776 has 160 divisors (see below), whose sum is σ = 15581677946880. Its totient is φ = 2794843699200.

The previous prime is 6777788877731. The next prime is 6777788877787.

It is a happy number.

6777788877776 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×6777788877776⁴ (a number of 52 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601875986 + ... + 601887246.

It is an arithmetic number, because the mean of its divisors is an integer number (97385487168).

Almost surely, 2^{6777788877776} 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 6777788877776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790838973440).

6777788877776 is an abundant number, since it is smaller than the sum of its proper divisors (8803889069104).

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

6777788877776 is a wasteful number, since it uses less digits than its factorization.

6777788877776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12293 (or 12287 counting only the distinct ones).

The product of its digits is 106256812032, while the sum is 92.

The spelling of 6777788877776 in words is "six trillion, seven hundred seventy-seven billion, seven hundred eighty-eight million, eight hundred seventy-seven thousand, seven hundred seventy-six".