6673305600 has 468 divisors, whose sum is σ = 25787201076. Its totient is φ = 1639710720.

The previous prime is 6673305599. The next prime is 6673305637. The reversal of 6673305600 is 65033766.

6673305600 is a `hidden beast` number, since 6 + 67 + 3 + 30 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2001309696 + 4671995904 = 44736^2 + 68352^2 .

It is a tau number, because it is divible by the number of its divisors (468).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11980522 + ... + 11981078.

It is an arithmetic number, because the mean of its divisors is an integer number (55100857).

Almost surely, 2^6673305600 is an apocalyptic number.

6673305600 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 6673305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893600538).

6673305600 is an abundant number, since it is smaller than the sum of its proper divisors (19113895476).

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

6673305600 is a wasteful number, since it uses less digits than its factorization.

6673305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 6673305600 is about 81690.3029740985. The cubic root of 6673305600 is about 1882.6965980398.

The spelling of 6673305600 in words is "six billion, six hundred seventy-three million, three hundred five thousand, six hundred".