7086284428080 has 1280 divisors, whose sum is σ = 28645526568960. Its totient is φ = 1421859225600.

The previous prime is 7086284428063. The next prime is 7086284428087. The reversal of 7086284428080 is 808244826807.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 7086284428080.

It is not an unprimeable number, because it can be changed into a prime (7086284428087) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1454788045 + ... + 1454792915.

It is an arithmetic number, because the mean of its divisors is an integer number (22379317632).

Almost surely, 2^{7086284428080} 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 7086284428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322763284480).

7086284428080 is an abundant number, since it is smaller than the sum of its proper divisors (21559242140880).

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

7086284428080 is a wasteful number, since it uses less digits than its factorization.

7086284428080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 57.

The spelling of 7086284428080 in words is "seven trillion, eighty-six billion, two hundred eighty-four million, four hundred twenty-eight thousand, eighty".