8406467616096 has 360 divisors, whose sum is σ = 27317546669952. Its totient is φ = 2534059123200.

The previous prime is 8406467616089. The next prime is 8406467616179. The reversal of 8406467616096 is 6906167646048.

8406467616096 is a `hidden beast` number, since 8 + 4 + 0 + 6 + 4 + 6 + 7 + 616 + 0 + 9 + 6 = 666.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 59833546 + ... + 59973878.

Almost surely, 2^{8406467616096} 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 8406467616096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13658773334976).

8406467616096 is an abundant number, since it is smaller than the sum of its proper divisors (18911079053856).

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

8406467616096 is a wasteful number, since it uses less digits than its factorization.

8406467616096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140568 (or 140540 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 8406467616096 in words is "eight trillion, four hundred six billion, four hundred sixty-seven million, six hundred sixteen thousand, ninety-six".