63711648 has 432 divisors, whose sum is σ = 258987456. Its totient is φ = 14376960.

The previous prime is 63711643. The next prime is 63711673. The reversal of 63711648 is 84611736.

63711648 is a `hidden beast` number, since 6 + 3 + 7 + 1 + 1 + 648 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (63711643) 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 71 ways as a sum of consecutive naturals, for example, 3747736 + ... + 3747752.

It is an arithmetic number, because the mean of its divisors is an integer number (599508).

Almost surely, 2^63711648 is an apocalyptic number.

63711648 is a gapful number since it is divisible by the number (68) 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 63711648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129493728).

63711648 is an abundant number, since it is smaller than the sum of its proper divisors (195275808).

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

63711648 is a wasteful number, since it uses less digits than its factorization.

63711648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 63711648 is about 7981.9576546108. The cubic root of 63711648 is about 399.3983622003.

The spelling of 63711648 in words is "sixty-three million, seven hundred eleven thousand, six hundred forty-eight".