63918720 has 224 divisors, whose sum is σ = 230776020. Its totient is φ = 16920576.

The previous prime is 63918707. The next prime is 63918739. The reversal of 63918720 is 2781936.

63918720 is a `hidden beast` number, since 639 + 18 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63872064 + 46656 = 7992^2 + 216^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466492 + ... + 466628.

Almost surely, 2^63918720 is an apocalyptic number.

63918720 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 63918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115388010).

63918720 is an abundant number, since it is smaller than the sum of its proper divisors (166857300).

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

63918720 is an equidigital number, since it uses as much as digits as its factorization.

63918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 63918720 is about 7994.9183860750. The cubic root of 63918720 is about 399.8305949316.

The spelling of 63918720 in words is "sixty-three million, nine hundred eighteen thousand, seven hundred twenty".