4495564800 has 420 divisors, whose sum is σ = 16715116176. Its totient is φ = 1194393600.

The previous prime is 4495564753. The next prime is 4495564807. The reversal of 4495564800 is 84655944.

4495564800 is a `hidden beast` number, since 4 + 4 + 9 + 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 (4495564807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16588665 + ... + 16588935.

Almost surely, 2^4495564800 is an apocalyptic number.

4495564800 is a gapful number since it is divisible by the number (40) 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 4495564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8357558088).

4495564800 is an abundant number, since it is smaller than the sum of its proper divisors (12219551376).

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

4495564800 is an equidigital number, since it uses as much as digits as its factorization.

4495564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 4495564800 is about 67048.9731464994. The cubic root of 4495564800 is about 1650.4210495716.

The spelling of 4495564800 in words is "four billion, four hundred ninety-five million, five hundred sixty-four thousand, eight hundred".