5606884800 has 1176 divisors, whose sum is σ = 24786092160. Its totient is φ = 1231718400.

The previous prime is 5606884771. The next prime is 5606884817. The reversal of 5606884800 is 84886065.

5606884800 is a `hidden beast` number, since 560 + 6 + 8 + 8 + 4 + 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 an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 243777589 + ... + 243777611.

Almost surely, 2^5606884800 is an apocalyptic number.

5606884800 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 5606884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12393046080).

5606884800 is an abundant number, since it is smaller than the sum of its proper divisors (19179207360).

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

5606884800 is a wasteful number, since it uses less digits than its factorization.

5606884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5606884800 is about 74879.1346103840. The cubic root of 5606884800 is about 1776.5354484850.

The spelling of 5606884800 in words is "five billion, six hundred six million, eight hundred eighty-four thousand, eight hundred".