6670400000 has 240 divisors, whose sum is σ = 18221021280. Its totient is φ = 2419200000.

The previous prime is 6670399951. The next prime is 6670400017. The reversal of 6670400000 is 40766.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17599811 + ... + 17600189.

It is an arithmetic number, because the mean of its divisors is an integer number (75920922).

Almost surely, 2^6670400000 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 6670400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9110510640).

6670400000 is an abundant number, since it is smaller than the sum of its proper divisors (11550621280).

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

6670400000 is an frugal number, since it uses more digits than its factorization.

6670400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 6670400000 is about 81672.5167972679. The cubic root of 6670400000 is about 1882.4233123201.

Adding to 6670400000 its reverse (40766), we get a palindrome (6670440766).

The spelling of 6670400000 in words is "six billion, six hundred seventy million, four hundred thousand".