63779968 has 48 divisors (see below), whose sum is σ = 147820950. Its totient is φ = 27331584.

The previous prime is 63779959. The next prime is 63779977. The reversal of 63779968 is 86997736.

It is an interprime number because it is at equal distance from previous prime (63779959) and next prime (63779977).

It can be written as a sum of positive squares in only one way, i.e., 40043584 + 23736384 = 6328^2 + 4872^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1188 + ... + 11356.

Almost surely, 2^63779968 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 63779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73910475).

63779968 is an abundant number, since it is smaller than the sum of its proper divisors (84040982).

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

63779968 is a wasteful number, since it uses less digits than its factorization.

63779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10197 (or 10178 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 55.

The square root of 63779968 is about 7986.2361597939. The cubic root of 63779968 is about 399.5410736679.

The spelling of 63779968 in words is "sixty-three million, seven hundred seventy-nine thousand, nine hundred sixty-eight".