8741383200 has 864 divisors, whose sum is σ = 36584533440. Its totient is φ = 1940889600.

The previous prime is 8741383199. The next prime is 8741383223. The reversal of 8741383200 is 23831478.

8741383200 is a `hidden beast` number, since 8 + 74 + 1 + 383 + 200 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55677522 + ... + 55677678.

It is an arithmetic number, because the mean of its divisors is an integer number (42343210).

Almost surely, 2^8741383200 is an apocalyptic number.

8741383200 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 8741383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18292266720).

8741383200 is an abundant number, since it is smaller than the sum of its proper divisors (27843150240).

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

8741383200 is a wasteful number, since it uses less digits than its factorization.

8741383200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8741383200 is about 93495.3645909785. The cubic root of 8741383200 is about 2059.9660031465.

The spelling of 8741383200 in words is "eight billion, seven hundred forty-one million, three hundred eighty-three thousand, two hundred".