6225144640 has 224 divisors, whose sum is σ = 18019532160. Its totient is φ = 2017075200.

The previous prime is 6225144631. The next prime is 6225144659. The reversal of 6225144640 is 464415226.

It is a junction number, because it is equal to n+sod(n) for n = 6225144596 and 6225144605.

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 31 ways as a sum of consecutive naturals, for example, 1324695 + ... + 1329385.

It is an arithmetic number, because the mean of its divisors is an integer number (80444340).

Almost surely, 2^6225144640 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 6225144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9009766080).

6225144640 is an abundant number, since it is smaller than the sum of its proper divisors (11794387520).

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

6225144640 is a wasteful number, since it uses less digits than its factorization.

6225144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 6225144640 is about 78899.5858037290. The cubic root of 6225144640 is about 1839.5706937935.

Adding to 6225144640 its reverse (464415226), we get a palindrome (6689559866).

The spelling of 6225144640 in words is "six billion, two hundred twenty-five million, one hundred forty-four thousand, six hundred forty".