6225448320 has 1024 divisors, whose sum is σ = 28130457600. Its totient is φ = 1266057216.

The previous prime is 6225448291. The next prime is 6225448429. The reversal of 6225448320 is 238445226.

6225448320 is a `hidden beast` number, since 622 + 5 + 4 + 4 + 8 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 58181707 + ... + 58181813.

It is an arithmetic number, because the mean of its divisors is an integer number (27471150).

Almost surely, 2^6225448320 is an apocalyptic number.

6225448320 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 6225448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065228800).

6225448320 is an abundant number, since it is smaller than the sum of its proper divisors (21905009280).

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

6225448320 is a wasteful number, since it uses less digits than its factorization.

6225448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 6225448320 is about 78901.5102517056. The cubic root of 6225448320 is about 1839.6006064449.

The spelling of 6225448320 in words is "six billion, two hundred twenty-five million, four hundred forty-eight thousand, three hundred twenty".