6681289884480 has 336 divisors, whose sum is σ = 23063069952000. Its totient is φ = 1775314944000.

The previous prime is 6681289884413. The next prime is 6681289884613. The reversal of 6681289884480 is 844889821866.

6681289884480 is a `hidden beast` number, since 6 + 6 + 81 + 28 + 9 + 88 + 448 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6681289884399 and 6681289884408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1036016296 + ... + 1036022744.

Almost surely, 2^{6681289884480} is an apocalyptic number.

6681289884480 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 6681289884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531534976000).

6681289884480 is an abundant number, since it is smaller than the sum of its proper divisors (16381780067520).

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

6681289884480 is a wasteful number, since it uses less digits than its factorization.

6681289884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7702 (or 7689 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 72.

The spelling of 6681289884480 in words is "six trillion, six hundred eighty-one billion, two hundred eighty-nine million, eight hundred eighty-four thousand, four hundred eighty".