6673180800 has 384 divisors, whose sum is σ = 25827721920. Its totient is φ = 1492992000.

The previous prime is 6673180753. The next prime is 6673180819. The reversal of 6673180800 is 80813766.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370370 + ... + 1375230.

Almost surely, 2^6673180800 is an apocalyptic number.

6673180800 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 6673180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913860960).

6673180800 is an abundant number, since it is smaller than the sum of its proper divisors (19154541120).

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

6673180800 is a wasteful number, since it uses less digits than its factorization.

6673180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 6673180800 is about 81689.5391099742. The cubic root of 6673180800 is about 1882.6848616274.

The spelling of 6673180800 in words is "six billion, six hundred seventy-three million, one hundred eighty thousand, eight hundred".