6685918544448 has 1008 divisors, whose sum is σ = 24067112314752. Its totient is φ = 1753030656000.

The previous prime is 6685918544423. The next prime is 6685918544449. The reversal of 6685918544448 is 8444458195866.

6685918544448 is a `hidden beast` number, since 6 + 68 + 5 + 9 + 1 + 85 + 44 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6685918544449) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5661234418 + ... + 5661235598.

Almost surely, 2^{6685918544448} is an apocalyptic number.

6685918544448 is a gapful number since it is divisible by the number (68) 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 6685918544448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033556157376).

6685918544448 is an abundant number, since it is smaller than the sum of its proper divisors (17381193770304).

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

6685918544448 is a wasteful number, since it uses less digits than its factorization.

6685918544448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1538 counting only the distinct ones).

The product of its digits is 1061683200, while the sum is 72.

The spelling of 6685918544448 in words is "six trillion, six hundred eighty-five billion, nine hundred eighteen million, five hundred forty-four thousand, four hundred forty-eight".