7082295722400 has 288 divisors, whose sum is σ = 23124861789120. Its totient is φ = 1882724474880.

The previous prime is 7082295722387. The next prime is 7082295722407. The reversal of 7082295722400 is 42275922807.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7082295722400.

It is not an unprimeable number, because it can be changed into a prime (7082295722407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1094125564 + ... + 1094132036.

It is an arithmetic number, because the mean of its divisors is an integer number (80294658990).

Almost surely, 2^{7082295722400} 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 7082295722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11562430894560).

7082295722400 is an abundant number, since it is smaller than the sum of its proper divisors (16042566066720).

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

7082295722400 is a wasteful number, since it uses less digits than its factorization.

7082295722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 7082295722400 in words is "seven trillion, eighty-two billion, two hundred ninety-five million, seven hundred twenty-two thousand, four hundred".