1563242688 has 252 divisors, whose sum is σ = 5275261992. Its totient is φ = 441262080.

The previous prime is 1563242647. The next prime is 1563242693. The reversal of 1563242688 is 8862423651.

1563242688 is a `hidden beast` number, since 1 + 5 + 632 + 4 + 2 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 2737443 + ... + 2738013.

Almost surely, 2^1563242688 is an apocalyptic number.

1563242688 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 1563242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637630996).

1563242688 is an abundant number, since it is smaller than the sum of its proper divisors (3712019304).

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

1563242688 is a wasteful number, since it uses less digits than its factorization.

1563242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 680 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1563242688 is about 39537.8639787230. The cubic root of 1563242688 is about 1160.5810327386.

The spelling of 1563242688 in words is "one billion, five hundred sixty-three million, two hundred forty-two thousand, six hundred eighty-eight".