6808492348800 has 384 divisors, whose sum is σ = 22570718238720. Its totient is φ = 1803863040000.

The previous prime is 6808492348789. The next prime is 6808492348829. The reversal of 6808492348800 is 88432948086.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6808492348800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1927111834 + ... + 1927115366.

It is an arithmetic number, because the mean of its divisors is an integer number (58777912080).

Almost surely, 2^{6808492348800} is an apocalyptic number.

6808492348800 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 6808492348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11285359119360).

6808492348800 is an abundant number, since it is smaller than the sum of its proper divisors (15762225889920).

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

6808492348800 is a wasteful number, since it uses less digits than its factorization.

6808492348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 6808492348800 in words is "six trillion, eight hundred eight billion, four hundred ninety-two million, three hundred forty-eight thousand, eight hundred".