8620446440268 has 192 divisors, whose sum is σ = 24870699786240. Its totient is φ = 2564215315200.

The previous prime is 8620446440261. The next prime is 8620446440293.

8620446440268 is a `hidden beast` number, since 8 + 620 + 4 + 4 + 6 + 4 + 4 + 0 + 2 + 6 + 8 = 666.

8620446440268 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (8620446440261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41985298 + ... + 42190118.

It is an arithmetic number, because the mean of its divisors is an integer number (129534894720).

Almost surely, 2^{8620446440268} 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 8620446440268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12435349893120).

8620446440268 is an abundant number, since it is smaller than the sum of its proper divisors (16250253345972).

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

8620446440268 is a wasteful number, since it uses less digits than its factorization.

8620446440268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205845 (or 205837 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 8620446440268 in words is "eight trillion, six hundred twenty billion, four hundred forty-six million, four hundred forty thousand, two hundred sixty-eight".