6538141800 has 480 divisors, whose sum is σ = 24025605120. Its totient is φ = 1645401600.

The previous prime is 6538141733. The next prime is 6538141807. The reversal of 6538141800 is 81418356.

6538141800 is a `hidden beast` number, since 6 + 538 + 1 + 41 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6538141807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23603262 + ... + 23603538.

It is an arithmetic number, because the mean of its divisors is an integer number (50053344).

Almost surely, 2^6538141800 is an apocalyptic number.

6538141800 is a gapful number since it is divisible by the number (60) 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 6538141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12012802560).

6538141800 is an abundant number, since it is smaller than the sum of its proper divisors (17487463320).

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

6538141800 is a wasteful number, since it uses less digits than its factorization.

6538141800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6538141800 is about 80858.7768890923. The cubic root of 6538141800 is about 1869.8988382653.

The spelling of 6538141800 in words is "six billion, five hundred thirty-eight million, one hundred forty-one thousand, eight hundred".