63675768 has 64 divisors (see below), whose sum is σ = 172892160. Its totient is φ = 19426176.

The previous prime is 63675739. The next prime is 63675769. The reversal of 63675768 is 86757636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63675769) 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, 38821 + ... + 40427.

It is an arithmetic number, because the mean of its divisors is an integer number (2701440).

Almost surely, 2^63675768 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 63675768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86446080).

63675768 is an abundant number, since it is smaller than the sum of its proper divisors (109216392).

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

63675768 is a wasteful number, since it uses less digits than its factorization.

63675768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1752 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 63675768 is about 7979.7097691583. The cubic root of 63675768 is about 399.3233727509.

The spelling of 63675768 in words is "sixty-three million, six hundred seventy-five thousand, seven hundred sixty-eight".