63768432 has 120 divisors (see below), whose sum is σ = 204046464. Its totient is φ = 16803072.

The previous prime is 63768403. The next prime is 63768451. The reversal of 63768432 is 23486736.

63768432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56223 + ... + 57345.

Almost surely, 2^63768432 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 63768432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102023232).

63768432 is an abundant number, since it is smaller than the sum of its proper divisors (140278032).

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

63768432 is a wasteful number, since it uses less digits than its factorization.

63768432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1148 counting only the distinct ones).

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

The square root of 63768432 is about 7985.5138845287. The cubic root of 63768432 is about 399.5169836394.

The spelling of 63768432 in words is "sixty-three million, seven hundred sixty-eight thousand, four hundred thirty-two".