1563648320 has 224 divisors, whose sum is σ = 4294510080. Its totient is φ = 537477120.

The previous prime is 1563648313. The next prime is 1563648323. The reversal of 1563648320 is 238463651.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1563648323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5769785 + ... + 5770055.

It is an arithmetic number, because the mean of its divisors is an integer number (19171920).

Almost surely, 2^1563648320 is an apocalyptic number.

1563648320 is a gapful number since it is divisible by the number (10) 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 1563648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147255040).

1563648320 is an abundant number, since it is smaller than the sum of its proper divisors (2730861760).

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

1563648320 is a wasteful number, since it uses less digits than its factorization.

1563648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 1563648320 is about 39542.9933110785. The cubic root of 1563648320 is about 1160.6814070218.

The spelling of 1563648320 in words is "one billion, five hundred sixty-three million, six hundred forty-eight thousand, three hundred twenty".