63150225600 has 672 divisors, whose sum is σ = 262637332992. Its totient is φ = 12902400000.

The previous prime is 63150225569. The next prime is 63150225629. The reversal of 63150225600 is 652205136.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22544200 + ... + 22547000.

Almost surely, 2^63150225600 is an apocalyptic number.

63150225600 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 63150225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131318666496).

63150225600 is an abundant number, since it is smaller than the sum of its proper divisors (199487107392).

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

63150225600 is a wasteful number, since it uses less digits than its factorization.

63150225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 63150225600 in words is "sixty-three billion, one hundred fifty million, two hundred twenty-five thousand, six hundred".