900225773568 has 624 divisors, whose sum is σ = 3003536165760. Its totient is φ = 256927334400.

The previous prime is 900225773567. The next prime is 900225773569. The reversal of 900225773568 is 865377522009.

900225773568 is a `hidden beast` number, since 9 + 0 + 0 + 2 + 2 + 5 + 7 + 73 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (900225773567) and next prime (900225773569).

It is a super-2 number, since 2×900225773568² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (900225773563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2550214480 + ... + 2550214832.

It is an arithmetic number, because the mean of its divisors is an integer number (4813359240).

Almost surely, 2^900225773568 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 900225773568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501768082880).

900225773568 is an abundant number, since it is smaller than the sum of its proper divisors (2103310392192).

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

900225773568 is a wasteful number, since it uses less digits than its factorization.

900225773568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 900225773568 in words is "nine hundred billion, two hundred twenty-five million, seven hundred seventy-three thousand, five hundred sixty-eight".