1563689664 has 224 divisors, whose sum is σ = 4898745600. Its totient is φ = 487710720.

The previous prime is 1563689627. The next prime is 1563689713. The reversal of 1563689664 is 4669863651.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1563689664.

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 31 ways as a sum of consecutive naturals, for example, 3184459 + ... + 3184949.

It is an arithmetic number, because the mean of its divisors is an integer number (21869400).

Almost surely, 2^1563689664 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 1563689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449372800).

1563689664 is an abundant number, since it is smaller than the sum of its proper divisors (3335055936).

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

1563689664 is a wasteful number, since it uses less digits than its factorization.

1563689664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 612 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 1563689664 is about 39543.5160803892. The cubic root of 1563689664 is about 1160.6916366854.

The spelling of 1563689664 in words is "one billion, five hundred sixty-three million, six hundred eighty-nine thousand, six hundred sixty-four".