6681417321600 has 480 divisors, whose sum is σ = 28178178177600. Its totient is φ = 1527180687360.

The previous prime is 6681417321599. The next prime is 6681417321653. The reversal of 6681417321600 is 61237141866.

6681417321600 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 4 + 1 + 7 + 32 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26820 + ... + 3655619.

It is an arithmetic number, because the mean of its divisors is an integer number (58704537870).

Almost surely, 2^{6681417321600} is an apocalyptic number.

6681417321600 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 6681417321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14089089088800).

6681417321600 is an abundant number, since it is smaller than the sum of its proper divisors (21496760856000).

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

6681417321600 is a wasteful number, since it uses less digits than its factorization.

6681417321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682482 (or 3682456 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 6681417321600 in words is "six trillion, six hundred eighty-one billion, four hundred seventeen million, three hundred twenty-one thousand, six hundred".