6777476975556 has 288 divisors, whose sum is σ = 20103632640000. Its totient is φ = 1924362982080.

The previous prime is 6777476975537. The next prime is 6777476975579. The reversal of 6777476975556 is 6555796747776.

6777476975556 is a `hidden beast` number, since 6 + 7 + 7 + 7 + 476 + 97 + 5 + 5 + 56 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3742393891 + ... + 3742395701.

It is an arithmetic number, because the mean of its divisors is an integer number (69804280000).

Almost surely, 2^{6777476975556} 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 6777476975556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10051816320000).

6777476975556 is an abundant number, since it is smaller than the sum of its proper divisors (13326155664444).

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

6777476975556 is a wasteful number, since it uses less digits than its factorization.

6777476975556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3545 counting only the distinct ones).

The product of its digits is 16336404000, while the sum is 81.

The spelling of 6777476975556 in words is "six trillion, seven hundred seventy-seven billion, four hundred seventy-six million, nine hundred seventy-five thousand, five hundred fifty-six".