1563372800 has 216 divisors, whose sum is σ = 4311286560. Its totient is φ = 556441600.

The previous prime is 1563372799. The next prime is 1563372817. The reversal of 1563372800 is 82733651.

It is a super-3 number, since 3×1563372800³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3730991 + ... + 3731409.

It is an arithmetic number, because the mean of its divisors is an integer number (19959660).

Almost surely, 2^1563372800 is an apocalyptic number.

1563372800 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 1563372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155643280).

1563372800 is an abundant number, since it is smaller than the sum of its proper divisors (2747913760).

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

1563372800 is a wasteful number, since it uses less digits than its factorization.

1563372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 1563372800 is about 39539.5093545684. The cubic root of 1563372800 is about 1160.6132310512.

The spelling of 1563372800 in words is "one billion, five hundred sixty-three million, three hundred seventy-two thousand, eight hundred".