1563163668 has 288 divisors, whose sum is σ = 4891985280. Its totient is φ = 418176000.

The previous prime is 1563163631. The next prime is 1563163669. The reversal of 1563163668 is 8663613651.

1563163668 is a `hidden beast` number, since 1 + 5 + 6 + 3 + 1 + 636 + 6 + 8 = 666.

Its product of digits (466560) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1563163669) 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 95 ways as a sum of consecutive naturals, for example, 15476818 + ... + 15476918.

It is an arithmetic number, because the mean of its divisors is an integer number (16986060).

Almost surely, 2^1563163668 is an apocalyptic number.

1563163668 is a gapful number since it is divisible by the number (18) 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 1563163668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445992640).

1563163668 is an abundant number, since it is smaller than the sum of its proper divisors (3328821612).

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

1563163668 is a wasteful number, since it uses less digits than its factorization.

1563163668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 1563163668 is about 39536.8646708360. The cubic root of 1563163668 is about 1160.5614770933.

The spelling of 1563163668 in words is "one billion, five hundred sixty-three million, one hundred sixty-three thousand, six hundred sixty-eight".