6808967146800 has 1800 divisors, whose sum is σ = 30806280678096. Its totient is φ = 1427564113920.

The previous prime is 6808967146799. The next prime is 6808967146937. The reversal of 6808967146800 is 86417698086.

6808967146800 is a `hidden beast` number, since 6 + 80 + 8 + 96 + 7 + 1 + 468 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3570511447 + ... + 3570513353.

Almost surely, 2^{6808967146800} is an apocalyptic number.

6808967146800 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 6808967146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15403140339048).

6808967146800 is an abundant number, since it is smaller than the sum of its proper divisors (23997313531296).

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

6808967146800 is a wasteful number, since it uses less digits than its factorization.

6808967146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 6808967146800 in words is "six trillion, eight hundred eight billion, nine hundred sixty-seven million, one hundred forty-six thousand, eight hundred".