5822668800 has 672 divisors, whose sum is σ = 23321528160. Its totient is φ = 1433272320.

The previous prime is 5822668781. The next prime is 5822668801. The reversal of 5822668800 is 88662285.

5822668800 is a `hidden beast` number, since 582 + 2 + 6 + 68 + 8 + 0 + 0 = 666.

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5822668801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447897594 + ... + 447897606.

It is an arithmetic number, because the mean of its divisors is an integer number (34704655).

Almost surely, 2^5822668800 is an apocalyptic number.

5822668800 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 5822668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11660764080).

5822668800 is an abundant number, since it is smaller than the sum of its proper divisors (17498859360).

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

5822668800 is an frugal number, since it uses more digits than its factorization.

5822668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

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

The square root of 5822668800 is about 76306.4138850726. The cubic root of 5822668800 is about 1799.0394875444.

The spelling of 5822668800 in words is "five billion, eight hundred twenty-two million, six hundred sixty-eight thousand, eight hundred".