63748800 has 252 divisors, whose sum is σ = 239527080. Its totient is φ = 16035840.

The previous prime is 63748799. The next prime is 63748807. The reversal of 63748800 is 884736.

63748800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (63748807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273484 + ... + 273716.

Almost surely, 2^63748800 is an apocalyptic number.

63748800 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 63748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119763540).

63748800 is an abundant number, since it is smaller than the sum of its proper divisors (175778280).

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

63748800 is a wasteful number, since it uses less digits than its factorization.

63748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 63748800 is about 7984.2845640671. The cubic root of 63748800 is about 399.4759804753.

The spelling of 63748800 in words is "sixty-three million, seven hundred forty-eight thousand, eight hundred".