8204541840 has 800 divisors, whose sum is σ = 33186447360. Its totient is φ = 1860019200.

The previous prime is 8204541823. The next prime is 8204541841. The reversal of 8204541840 is 481454028.

8204541840 is a `hidden beast` number, since 8 + 20 + 454 + 184 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8204541795 and 8204541804.

It is not an unprimeable number, because it can be changed into a prime (8204541841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 103854921 + ... + 103854999.

Almost surely, 2^8204541840 is an apocalyptic number.

8204541840 is a gapful number since it is divisible by the number (80) 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 8204541840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593223680).

8204541840 is an abundant number, since it is smaller than the sum of its proper divisors (24981905520).

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

8204541840 is a wasteful number, since it uses less digits than its factorization.

8204541840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 8204541840 is about 90578.9260258698. The cubic root of 8204541840 is about 2016.9019136206.

Adding to 8204541840 its reverse (481454028), we get a palindrome (8685995868).

The spelling of 8204541840 in words is "eight billion, two hundred four million, five hundred forty-one thousand, eight hundred forty".