6685378560000 has 1800 divisors, whose sum is σ = 28339298571584. Its totient is φ = 1486356480000.

The previous prime is 6685378559929. The next prime is 6685378560053. The reversal of 6685378560000 is 658735866.

6685378560000 is a `hidden beast` number, since 6 + 6 + 8 + 5 + 3 + 78 + 560 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27740159880 + ... + 27740160120.

Almost surely, 2^{6685378560000} is an apocalyptic number.

6685378560000 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 6685378560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169649285792).

6685378560000 is an abundant number, since it is smaller than the sum of its proper divisors (21653920011584).

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

6685378560000 is an equidigital number, since it uses as much as digits as its factorization.

6685378560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 6685378560000 in words is "six trillion, six hundred eighty-five billion, three hundred seventy-eight million, five hundred sixty thousand".