6805178413920 has 576 divisors, whose sum is σ = 24882903392256. Its totient is φ = 1754531850240.

The previous prime is 6805178413897. The next prime is 6805178413921. The reversal of 6805178413920 is 293148715086.

6805178413920 is a `hidden beast` number, since 6 + 80 + 5 + 178 + 4 + 1 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6805178413921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1792249462 + ... + 1792253258.

It is an arithmetic number, because the mean of its divisors is an integer number (43199485056).

It is a 1-persistent number, because it is pandigital, but 2⋅6805178413920 = 13610356827840 is not.

Almost surely, 2^{6805178413920} is an apocalyptic number.

6805178413920 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 6805178413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441451696128).

6805178413920 is an abundant number, since it is smaller than the sum of its proper divisors (18077724978336).

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

6805178413920 is a wasteful number, since it uses less digits than its factorization.

6805178413920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 6805178413920 in words is "six trillion, eight hundred five billion, one hundred seventy-eight million, four hundred thirteen thousand, nine hundred twenty".