6788105566000 has 960 divisors, whose sum is σ = 19650062315520. Its totient is φ = 2258784000000.

The previous prime is 6788105565931. The next prime is 6788105566001. The reversal of 6788105566000 is 6655018876.

It is not an unprimeable number, because it can be changed into a prime (6788105566001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21826705845 + ... + 21826706155.

It is an arithmetic number, because the mean of its divisors is an integer number (20468814912).

Almost surely, 2^{6788105566000} 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 6788105566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9825031157760).

6788105566000 is an abundant number, since it is smaller than the sum of its proper divisors (12861956749520).

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

6788105566000 is a wasteful number, since it uses less digits than its factorization.

6788105566000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 6788105566000 in words is "six trillion, seven hundred eighty-eight billion, one hundred five million, five hundred sixty-six thousand".