5606668800 has 240 divisors, whose sum is σ = 20580468480. Its totient is φ = 1495019520.

The previous prime is 5606668777. The next prime is 5606668811. The reversal of 5606668800 is 88666065.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337489 + ... + 353711.

It is an arithmetic number, because the mean of its divisors is an integer number (85751952).

Almost surely, 2^5606668800 is an apocalyptic number.

5606668800 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 5606668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10290234240).

5606668800 is an abundant number, since it is smaller than the sum of its proper divisors (14973799680).

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

5606668800 is a wasteful number, since it uses less digits than its factorization.

5606668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16260 (or 16233 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5606668800 is about 74877.6922721314. The cubic root of 5606668800 is about 1776.5126350691.

The spelling of 5606668800 in words is "five billion, six hundred six million, six hundred sixty-eight thousand, eight hundred".