1563348864 has 256 divisors, whose sum is σ = 5320972800. Its totient is φ = 394813440.

The previous prime is 1563348833. The next prime is 1563348869. The reversal of 1563348864 is 4688433651.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1563348869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093302 + ... + 1094730.

It is an arithmetic number, because the mean of its divisors is an integer number (20785050).

Almost surely, 2^1563348864 is an apocalyptic number.

1563348864 is a gapful number since it is divisible by the number (14) 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 1563348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660486400).

1563348864 is an abundant number, since it is smaller than the sum of its proper divisors (3757623936).

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

1563348864 is a wasteful number, since it uses less digits than its factorization.

1563348864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1489 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 1563348864 is about 39539.2066688243. The cubic root of 1563348864 is about 1160.6073078361.

The spelling of 1563348864 in words is "one billion, five hundred sixty-three million, three hundred forty-eight thousand, eight hundred sixty-four".