4663351638 has 96 divisors (see below), whose sum is σ = 11456640000. Its totient is φ = 1358107200.

The previous prime is 4663351633. The next prime is 4663351657. The reversal of 4663351638 is 8361533664.

4663351638 is a `hidden beast` number, since 4 + 6 + 6 + 3 + 3 + 5 + 1 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4663351593 and 4663351602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4663351633) 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 47 ways as a sum of consecutive naturals, for example, 912013 + ... + 917111.

It is an arithmetic number, because the mean of its divisors is an integer number (119340000).

Almost surely, 2^4663351638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4663351638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728320000).

4663351638 is an abundant number, since it is smaller than the sum of its proper divisors (6793288362).

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

4663351638 is a wasteful number, since it uses less digits than its factorization.

4663351638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 5295 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 4663351638 is about 68288.7372705046. The cubic root of 4663351638 is about 1670.7035220560.

The spelling of 4663351638 in words is "four billion, six hundred sixty-three million, three hundred fifty-one thousand, six hundred thirty-eight".