6672784000 has 256 divisors, whose sum is σ = 17485696800. Its totient is φ = 2528870400.

The previous prime is 6672783977. The next prime is 6672784003. The reversal of 6672784000 is 4872766.

It can be written as a sum of positive squares in 16 ways, for example, as 158357056 + 6514426944 = 12584^2 + 80712^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6672784003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33871902 + ... + 33872098.

Almost surely, 2^6672784000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6672784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742848400).

6672784000 is an abundant number, since it is smaller than the sum of its proper divisors (10812912800).

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

6672784000 is a wasteful number, since it uses less digits than its factorization.

6672784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 6672784000 is about 81687.1103663240. The cubic root of 6672784000 is about 1882.6475448823.

The spelling of 6672784000 in words is "six billion, six hundred seventy-two million, seven hundred eighty-four thousand".