7982028288000 has 1248 divisors, whose sum is σ = 32623358564160. Its totient is φ = 1861130649600.

The previous prime is 7982028287983. The next prime is 7982028288023. The reversal of 7982028288000 is 8828202897.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1138172494 + ... + 1138179506.

It is an arithmetic number, because the mean of its divisors is an integer number (26140511670).

Almost surely, 2^{7982028288000} 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 7982028288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311679282080).

7982028288000 is an abundant number, since it is smaller than the sum of its proper divisors (24641330276160).

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

7982028288000 is a wasteful number, since it uses less digits than its factorization.

7982028288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7090 (or 7055 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 7982028288000 in words is "seven trillion, nine hundred eighty-two billion, twenty-eight million, two hundred eighty-eight thousand".