4663773664 has 72 divisors (see below), whose sum is σ = 10531397520. Its totient is φ = 2027688960.

The previous prime is 4663773661. The next prime is 4663773713.

4663773664 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4663773661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62872 + ... + 115240.

It is an arithmetic number, because the mean of its divisors is an integer number (146269410).

Almost surely, 2^4663773664 is an apocalyptic number.

4663773664 is a gapful number since it is divisible by the number (44) 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 4663773664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265698760).

4663773664 is an abundant number, since it is smaller than the sum of its proper divisors (5867623856).

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

4663773664 is a wasteful number, since it uses less digits than its factorization.

4663773664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52424 (or 52405 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 52.

The square root of 4663773664 is about 68291.8272123393. The cubic root of 4663773664 is about 1670.7539192174.

The spelling of 4663773664 in words is "four billion, six hundred sixty-three million, seven hundred seventy-three thousand, six hundred sixty-four".