8428646406664 has 64 divisors (see below), whose sum is σ = 17415460520640. Its totient is φ = 3792461967360.

The previous prime is 8428646406619. The next prime is 8428646406749. The reversal of 8428646406664 is 4666046468248.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8428646406596 and 8428646406605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3265507 + ... + 5246029.

It is an arithmetic number, because the mean of its divisors is an integer number (272116570635).

Almost surely, 2^{8428646406664} 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 8428646406664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8707730260320).

8428646406664 is an abundant number, since it is smaller than the sum of its proper divisors (8986814113976).

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

8428646406664 is a wasteful number, since it uses less digits than its factorization.

8428646406664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981030 (or 1981026 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 64.

The spelling of 8428646406664 in words is "eight trillion, four hundred twenty-eight billion, six hundred forty-six million, four hundred six thousand, six hundred sixty-four".