1563964416 has 176 divisors, whose sum is σ = 5294033280. Its totient is φ = 446791680.

The previous prime is 1563964387. The next prime is 1563964427. The reversal of 1563964416 is 6144693651.

1563964416 is a `hidden beast` number, since 1 + 5 + 639 + 6 + 4 + 4 + 1 + 6 = 666.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 189496 + ... + 197576.

Almost surely, 2^1563964416 is an apocalyptic number.

1563964416 is a gapful number since it is divisible by the number (16) 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 1563964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647016640).

1563964416 is an abundant number, since it is smaller than the sum of its proper divisors (3730068864).

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

1563964416 is an equidigital number, since it uses as much as digits as its factorization.

1563964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 8093 counting only the distinct ones).

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

The square root of 1563964416 is about 39546.9899739538. The cubic root of 1563964416 is about 1160.7596134458.

The spelling of 1563964416 in words is "one billion, five hundred sixty-three million, nine hundred sixty-four thousand, four hundred sixteen".