6671622400 has 81 divisors (see below), whose sum is σ = 16529497383. Its totient is φ = 2666035200.

The previous prime is 6671622359. The next prime is 6671622421. The reversal of 6671622400 is 42261766.

The square root of 6671622400 is 81680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23503104 + 6648119296 = 4848^2 + 81536^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6533890 + ... + 6534910.

Almost surely, 2^6671622400 is an apocalyptic number.

6671622400 is the 81680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6671622400

6671622400 is an abundant number, since it is smaller than the sum of its proper divisors (9857874983).

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

6671622400 is an frugal number, since it uses more digits than its factorization.

6671622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The cubic root of 6671622400 is about 1882.5382946155.

The spelling of 6671622400 in words is "six billion, six hundred seventy-one million, six hundred twenty-two thousand, four hundred".