63375120 has 240 divisors, whose sum is σ = 229806720. Its totient is φ = 15611904.

The previous prime is 63375119. The next prime is 63375131. The reversal of 63375120 is 2157336.

It is a happy number.

63375120 is a `hidden beast` number, since 633 + 7 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 712036 + ... + 712124.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 2^63375120 is an apocalyptic number.

63375120 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 63375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

63375120 is an abundant number, since it is smaller than the sum of its proper divisors (166431600).

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

63375120 is a wasteful number, since it uses less digits than its factorization.

63375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 63375120 is about 7960.8492009333. The cubic root of 63375120 is about 398.6939066085.

The spelling of 63375120 in words is "sixty-three million, three hundred seventy-five thousand, one hundred twenty".