6563138400 has 1296 divisors, whose sum is σ = 30633758064. Its totient is φ = 1358622720.

The previous prime is 6563138381. The next prime is 6563138401. The reversal of 6563138400 is 48313656.

6563138400 is a `hidden beast` number, since 6 + 563 + 13 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6563138401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 123832774 + ... + 123832826.

It is an arithmetic number, because the mean of its divisors is an integer number (23637159).

Almost surely, 2^6563138400 is an apocalyptic number.

6563138400 is a gapful number since it is divisible by the number (60) 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 6563138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15316879032).

6563138400 is an abundant number, since it is smaller than the sum of its proper divisors (24070619664).

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

6563138400 is a wasteful number, since it uses less digits than its factorization.

6563138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6563138400 is about 81013.1989246197. The cubic root of 6563138400 is about 1872.2788046283.

The spelling of 6563138400 in words is "six billion, five hundred sixty-three million, one hundred thirty-eight thousand, four hundred".