8468616061824 has 256 divisors, whose sum is σ = 23260372128000. Its totient is φ = 2728210841600.

The previous prime is 8468616061817. The next prime is 8468616061879. The reversal of 8468616061824 is 4281606168648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758083759 + ... + 758094929.

It is an arithmetic number, because the mean of its divisors is an integer number (90860828625).

Almost surely, 2^{8468616061824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8468616061824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11630186064000).

8468616061824 is an abundant number, since it is smaller than the sum of its proper divisors (14791756066176).

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

8468616061824 is a wasteful number, since it uses less digits than its factorization.

8468616061824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11677 (or 11665 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 8468616061824 in words is "eight trillion, four hundred sixty-eight billion, six hundred sixteen million, sixty-one thousand, eight hundred twenty-four".