5648491800 has 768 divisors, whose sum is σ = 23784192000. Its totient is φ = 1204346880.

The previous prime is 5648491769. The next prime is 5648491829. The reversal of 5648491800 is 81948465.

5648491800 is a `hidden beast` number, since 5 + 6 + 484 + 91 + 80 + 0 = 666.

It is a super-2 number, since 2×5648491800² = 63810919229334480000, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 63466156 + ... + 63466244.

It is an arithmetic number, because the mean of its divisors is an integer number (30969000).

Almost surely, 2^5648491800 is an apocalyptic number.

5648491800 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 5648491800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11892096000).

5648491800 is an abundant number, since it is smaller than the sum of its proper divisors (18135700200).

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

5648491800 is a wasteful number, since it uses less digits than its factorization.

5648491800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5648491800 is about 75156.4488251008. The cubic root of 5648491800 is about 1780.9190011002.

The spelling of 5648491800 in words is "five billion, six hundred forty-eight million, four hundred ninety-one thousand, eight hundred".