8218496885760 has 2112 divisors, whose sum is σ = 35729418816000. Its totient is φ = 1739631624192.

The previous prime is 8218496885747. The next prime is 8218496885783. The reversal of 8218496885760 is 675886948128.

8218496885760 is a `hidden beast` number, since 8 + 2 + 1 + 8 + 49 + 6 + 8 + 8 + 576 + 0 = 666.

It is a super-2 number, since 2×8218496885760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19614550831 + ... + 19614551249.

Almost surely, 2^{8218496885760} is an apocalyptic number.

8218496885760 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 8218496885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17864709408000).

8218496885760 is an abundant number, since it is smaller than the sum of its proper divisors (27510921930240).

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

8218496885760 is a wasteful number, since it uses less digits than its factorization.

8218496885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 8218496885760 in words is "eight trillion, two hundred eighteen billion, four hundred ninety-six million, eight hundred eighty-five thousand, seven hundred sixty".