6225897600 has 768 divisors, whose sum is σ = 25710854400. Its totient is φ = 1459814400.

The previous prime is 6225897593. The next prime is 6225897647. The reversal of 6225897600 is 67985226.

6225897600 is a `hidden beast` number, since 6 + 2 + 2 + 589 + 7 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25833480 + ... + 25833720.

It is an arithmetic number, because the mean of its divisors is an integer number (33477675).

Almost surely, 2^6225897600 is an apocalyptic number.

6225897600 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 6225897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12855427200).

6225897600 is an abundant number, since it is smaller than the sum of its proper divisors (19484956800).

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

6225897600 is a wasteful number, since it uses less digits than its factorization.

6225897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6225897600 is about 78904.3572941317. The cubic root of 6225897600 is about 1839.6448589944.

The spelling of 6225897600 in words is "six billion, two hundred twenty-five million, eight hundred ninety-seven thousand, six hundred".