6225273600 has 648 divisors, whose sum is σ = 25787880720. Its totient is φ = 1310883840.

The previous prime is 6225273583. The next prime is 6225273611. The reversal of 6225273600 is 63725226.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12230146 + ... + 12230654.

Almost surely, 2^6225273600 is an apocalyptic number.

6225273600 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 6225273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893940360).

6225273600 is an abundant number, since it is smaller than the sum of its proper divisors (19562607120).

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

6225273600 is a wasteful number, since it uses less digits than its factorization.

6225273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 6225273600 is about 78900.4030407957. The cubic root of 6225273600 is about 1839.5833965451.

Adding to 6225273600 its reverse (63725226), we get a palindrome (6288998826).

The spelling of 6225273600 in words is "six billion, two hundred twenty-five million, two hundred seventy-three thousand, six hundred".