8480758570848 has 144 divisors (see below), whose sum is σ = 24805579715280. Its totient is φ = 2746451155968.

The previous prime is 8480758570841. The next prime is 8480758570853.

8480758570848 is a `hidden beast` number, since 8 + 4 + 8 + 0 + 7 + 5 + 8 + 570 + 8 + 48 = 666.

8480758570848 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8480758570848² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8480758570841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6626323 + ... + 7801901.

It is an arithmetic number, because the mean of its divisors is an integer number (172260970245).

Almost surely, 2^{8480758570848} 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 8480758570848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12402789857640).

8480758570848 is an abundant number, since it is smaller than the sum of its proper divisors (16324821144432).

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

8480758570848 is a wasteful number, since it uses less digits than its factorization.

8480758570848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176309 (or 1176298 counting only the distinct ones).

The product of its (nonzero) digits is 642252800, while the sum is 72.

The spelling of 8480758570848 in words is "eight trillion, four hundred eighty billion, seven hundred fifty-eight million, five hundred seventy thousand, eight hundred forty-eight".