6855608793600 has 1200 divisors, whose sum is σ = 29094265282368. Its totient is φ = 1561789071360.

The previous prime is 6855608793511. The next prime is 6855608793601. The reversal of 6855608793600 is 63978065586.

6855608793600 is a `hidden beast` number, since 6 + 8 + 5 + 560 + 8 + 7 + 9 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (6855608793601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2445809799 + ... + 2445812601.

Almost surely, 2^{6855608793600} is an apocalyptic number.

6855608793600 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 6855608793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14547132641184).

6855608793600 is an abundant number, since it is smaller than the sum of its proper divisors (22238656488768).

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

6855608793600 is a wasteful number, since it uses less digits than its factorization.

6855608793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 6855608793600 in words is "six trillion, eight hundred fifty-five billion, six hundred eight million, seven hundred ninety-three thousand, six hundred".