8241368800 has 432 divisors, whose sum is σ = 25247602800. Its totient is φ = 2609725440.

The previous prime is 8241368753. The next prime is 8241368813. The reversal of 8241368800 is 88631428.

It is a super-2 number, since 2×8241368800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55311126 + ... + 55311274.

It is an arithmetic number, because the mean of its divisors is an integer number (58443525).

Almost surely, 2^8241368800 is an apocalyptic number.

8241368800 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 8241368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12623801400).

8241368800 is an abundant number, since it is smaller than the sum of its proper divisors (17006234000).

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

8241368800 is a wasteful number, since it uses less digits than its factorization.

8241368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 8241368800 is about 90781.9849970246. The cubic root of 8241368800 is about 2019.9151027941.

The spelling of 8241368800 in words is "eight billion, two hundred forty-one million, three hundred sixty-eight thousand, eight hundred".