8218736824320 has 2496 divisors, whose sum is σ = 34621933731840. Its totient is φ = 1850513817600.

The previous prime is 8218736824297. The next prime is 8218736824357. The reversal of 8218736824320 is 234286378128.

8218736824320 is a `hidden beast` number, since 8 + 2 + 18 + 7 + 368 + 243 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49213992877 + ... + 49213993043.

It is an arithmetic number, because the mean of its divisors is an integer number (13870967040).

Almost surely, 2^{8218736824320} is an apocalyptic number.

8218736824320 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 8218736824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310966865920).

8218736824320 is an abundant number, since it is smaller than the sum of its proper divisors (26403196907520).

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

8218736824320 is a wasteful number, since it uses less digits than its factorization.

8218736824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 8218736824320 in words is "eight trillion, two hundred eighteen billion, seven hundred thirty-six million, eight hundred twenty-four thousand, three hundred twenty".