6685945660800 has 576 divisors, whose sum is σ = 28450587260160. Its totient is φ = 1461770956800.

The previous prime is 6685945660789. The next prime is 6685945660819. The reversal of 6685945660800 is 80665495866.

6685945660800 is a `hidden beast` number, since 6 + 68 + 5 + 9 + 4 + 566 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3915835 + ... + 5357765.

It is an arithmetic number, because the mean of its divisors is an integer number (49393380660).

Almost surely, 2^{6685945660800} is an apocalyptic number.

6685945660800 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 6685945660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14225293630080).

6685945660800 is an abundant number, since it is smaller than the sum of its proper divisors (21764641599360).

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

6685945660800 is a wasteful number, since it uses less digits than its factorization.

6685945660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441991 (or 1441971 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 6685945660800 in words is "six trillion, six hundred eighty-five billion, nine hundred forty-five million, six hundred sixty thousand, eight hundred".