6448090000 has 225 divisors, whose sum is σ = 17398000389. Its totient is φ = 2312640000.

The previous prime is 6448089979. The next prime is 6448090031. The reversal of 6448090000 is 908446.

The square root of 6448090000 is 80300.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4573546384 + 1874543616 = 67628^2 + 43296^2 .

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 44 ways as a sum of consecutive naturals, for example, 88329964 + ... + 88330036.

Almost surely, 2^6448090000 is an apocalyptic number.

6448090000 is the 80300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6448090000

6448090000 is an abundant number, since it is smaller than the sum of its proper divisors (10949910389).

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

6448090000 is an equidigital number, since it uses as much as digits as its factorization.

6448090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 6448090000 is about 1861.2742261101.

Adding to 6448090000 its reverse (908446), we get a palindrome (6448998446).

The spelling of 6448090000 in words is "six billion, four hundred forty-eight million, ninety thousand".