6475564800 has 648 divisors, whose sum is σ = 25024978160. Its totient is φ = 1592524800.

The previous prime is 6475564789. The next prime is 6475564801. The reversal of 6475564800 is 84655746.

6475564800 is a `hidden beast` number, since 6 + 4 + 7 + 5 + 564 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6475564801) 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 71 ways as a sum of consecutive naturals, for example, 66758352 + ... + 66758448.

Almost surely, 2^6475564800 is an apocalyptic number.

6475564800 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 6475564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12512489080).

6475564800 is an abundant number, since it is smaller than the sum of its proper divisors (18549413360).

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

6475564800 is a wasteful number, since it uses less digits than its factorization.

6475564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 6475564800 is about 80470.8941170657. The cubic root of 6475564800 is about 1863.9140608883.

The spelling of 6475564800 in words is "six billion, four hundred seventy-five million, five hundred sixty-four thousand, eight hundred".