6788181196800 has 816 divisors, whose sum is σ = 25112532516480. Its totient is φ = 1797689180160.

The previous prime is 6788181196787. The next prime is 6788181196831. The reversal of 6788181196800 is 86911818876.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7652965957 + ... + 7652966843.

Almost surely, 2^{6788181196800} is an apocalyptic number.

6788181196800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6788181196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12556266258240).

6788181196800 is an abundant number, since it is smaller than the sum of its proper divisors (18324351319680).

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

6788181196800 is an equidigital number, since it uses as much as digits as its factorization.

6788181196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 63.

The spelling of 6788181196800 in words is "six trillion, seven hundred eighty-eight billion, one hundred eighty-one million, one hundred ninety-six thousand, eight hundred".