6563390400 has 1008 divisors, whose sum is σ = 29480256000. Its totient is φ = 1350328320.

The previous prime is 6563390369. The next prime is 6563390467. The reversal of 6563390400 is 40933656.

6563390400 is a `hidden beast` number, since 6 + 563 + 3 + 90 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44049526 + ... + 44049674.

Almost surely, 2^6563390400 is an apocalyptic number.

6563390400 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 6563390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740128000).

6563390400 is an abundant number, since it is smaller than the sum of its proper divisors (22916865600).

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

6563390400 is a wasteful number, since it uses less digits than its factorization.

6563390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 6563390400 is about 81014.7542118101. The cubic root of 6563390400 is about 1872.3027671592.

The spelling of 6563390400 in words is "six billion, five hundred sixty-three million, three hundred ninety thousand, four hundred".