8141823360 has 768 divisors, whose sum is σ = 33086776320. Its totient is φ = 1824768000.

The previous prime is 8141823307. The next prime is 8141823367. The reversal of 8141823360 is 633281418.

8141823360 is a `hidden beast` number, since 8 + 1 + 418 + 233 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8141823367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53919285 + ... + 53919435.

It is an arithmetic number, because the mean of its divisors is an integer number (43081740).

Almost surely, 2^8141823360 is an apocalyptic number.

8141823360 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 8141823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16543388160).

8141823360 is an abundant number, since it is smaller than the sum of its proper divisors (24944952960).

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

8141823360 is a wasteful number, since it uses less digits than its factorization.

8141823360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8141823360 is about 90232.0528415485. The cubic root of 8141823360 is about 2011.7494533391.

The spelling of 8141823360 in words is "eight billion, one hundred forty-one million, eight hundred twenty-three thousand, three hundred sixty".