63715968 has 192 divisors, whose sum is σ = 200491200. Its totient is φ = 19353600.

The previous prime is 63715963. The next prime is 63715979. The reversal of 63715968 is 86951736.

It is a happy number.

63715968 is a `hidden beast` number, since 637 + 1 + 5 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (63715963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 897373 + ... + 897443.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^63715968 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 63715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100245600).

63715968 is an abundant number, since it is smaller than the sum of its proper divisors (136775232).

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

63715968 is a wasteful number, since it uses less digits than its factorization.

63715968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 63715968 is about 7982.2282603293. The cubic root of 63715968 is about 399.4073891311.

The spelling of 63715968 in words is "sixty-three million, seven hundred fifteen thousand, nine hundred sixty-eight".