63642276 has 72 divisors (see below), whose sum is σ = 166168184. Its totient is φ = 20528640.

The previous prime is 63642259. The next prime is 63642281. The reversal of 63642276 is 67224636.

It is a happy number.

63642276 is a `hidden beast` number, since 6 + 3 + 642 + 2 + 7 + 6 = 666.

63642276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2802276 + 60840000 = 1674^2 + 7800^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 63642276.

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, 160110 + ... + 160506.

Almost surely, 2^63642276 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 63642276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83084092).

63642276 is an abundant number, since it is smaller than the sum of its proper divisors (102525908).

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

63642276 is a wasteful number, since it uses less digits than its factorization.

63642276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 536 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 63642276 is about 7977.6109205701. The cubic root of 63642276 is about 399.2533488139.

The spelling of 63642276 in words is "sixty-three million, six hundred forty-two thousand, two hundred seventy-six".