63732864 has 128 divisors (see below), whose sum is σ = 193294080. Its totient is φ = 18432000.

The previous prime is 63732863. The next prime is 63732883. The reversal of 63732864 is 46823736.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (63732863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84489 + ... + 85239.

It is an arithmetic number, because the mean of its divisors is an integer number (1510110).

Almost surely, 2^63732864 is an apocalyptic number.

63732864 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 63732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96647040).

63732864 is an abundant number, since it is smaller than the sum of its proper divisors (129561216).

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

63732864 is a wasteful number, since it uses less digits than its factorization.

63732864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 786 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 63732864 is about 7983.2865412686. The cubic root of 63732864 is about 399.4426905427.

The spelling of 63732864 in words is "sixty-three million, seven hundred thirty-two thousand, eight hundred sixty-four".