8445479257728 has 256 divisors, whose sum is σ = 26078348160000. Its totient is φ = 2685647010816.

The previous prime is 8445479257717. The next prime is 8445479257753. The reversal of 8445479257728 is 8277529745448.

8445479257728 is a `hidden beast` number, since 8 + 4 + 4 + 5 + 47 + 9 + 2 + 577 + 2 + 8 = 666.

It is a super-2 number, since 2×8445479257728² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29985783 + ... + 30266121.

It is an arithmetic number, because the mean of its divisors is an integer number (101868547500).

Almost surely, 2^{8445479257728} 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 8445479257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13039174080000).

8445479257728 is an abundant number, since it is smaller than the sum of its proper divisors (17632868902272).

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

8445479257728 is a wasteful number, since it uses less digits than its factorization.

8445479257728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280764 (or 280746 counting only the distinct ones).

The product of its digits is 1264435200, while the sum is 72.

The spelling of 8445479257728 in words is "eight trillion, four hundred forty-five billion, four hundred seventy-nine million, two hundred fifty-seven thousand, seven hundred twenty-eight".