63657664 has 84 divisors (see below), whose sum is σ = 150107904. Its totient is φ = 26697216.

The previous prime is 63657661. The next prime is 63657667. The reversal of 63657664 is 46675636.

63657664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63657661) and next prime (63657667).

It is a self number, because there is not a number n which added to its sum of digits gives 63657664.

It is not an unprimeable number, because it can be changed into a prime (63657661) 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 11 ways as a sum of consecutive naturals, for example, 166017 + ... + 166399.

Almost surely, 2^63657664 is an apocalyptic number.

63657664 is a gapful number since it is divisible by the number (64) 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 63657664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75053952).

63657664 is an abundant number, since it is smaller than the sum of its proper divisors (86450240).

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

63657664 is a wasteful number, since it uses less digits than its factorization.

63657664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 445 counting only the distinct ones).

The product of its digits is 544320, while the sum is 43.

The square root of 63657664 is about 7978.5753114200. The cubic root of 63657664 is about 399.2855245720.

The spelling of 63657664 in words is "sixty-three million, six hundred fifty-seven thousand, six hundred sixty-four".