6808467193920 has 504 divisors, whose sum is σ = 27251888263704. Its totient is φ = 1555638239232.

The previous prime is 6808467193861. The next prime is 6808467193943. The reversal of 6808467193920 is 293917648086.

6808467193920 is a `hidden beast` number, since 6 + 80 + 8 + 467 + 1 + 9 + 3 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1114173135936 + 5694294057984 = 1055544^2 + 2386272^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 459620434 + ... + 459635246.

Almost surely, 2^{6808467193920} is an apocalyptic number.

6808467193920 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 6808467193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625944131852).

6808467193920 is an abundant number, since it is smaller than the sum of its proper divisors (20443421069784).

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

6808467193920 is a wasteful number, since it uses less digits than its factorization.

6808467193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18107 (or 18087 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 6808467193920 in words is "six trillion, eight hundred eight billion, four hundred sixty-seven million, one hundred ninety-three thousand, nine hundred twenty".