5566470400 has 216 divisors, whose sum is σ = 14302522080. Its totient is φ = 2143518720.

The previous prime is 5566470383. The next prime is 5566470401. The reversal of 5566470400 is 40746655.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5566470400.

It is not an unprimeable number, because it can be changed into a prime (5566470401) 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 23 ways as a sum of consecutive naturals, for example, 31097511 + ... + 31097689.

It is an arithmetic number, because the mean of its divisors is an integer number (66215380).

Almost surely, 2^5566470400 is an apocalyptic number.

5566470400 is a gapful number since it is divisible by the number (50) 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 5566470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7151261040).

5566470400 is an abundant number, since it is smaller than the sum of its proper divisors (8736051680).

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

5566470400 is a wasteful number, since it uses less digits than its factorization.

5566470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 5566470400 is about 74608.7823248711. The cubic root of 5566470400 is about 1772.2567318389.

The spelling of 5566470400 in words is "five billion, five hundred sixty-six million, four hundred seventy thousand, four hundred".