7982817244304 has 160 divisors (see below), whose sum is σ = 18922296038400. Its totient is φ = 3186206046720.

The previous prime is 7982817244291. The next prime is 7982817244433. The reversal of 7982817244304 is 4034427182897.

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, 242335067 + ... + 242368005.

It is an arithmetic number, because the mean of its divisors is an integer number (118264350240).

Almost surely, 2^{7982817244304} 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 7982817244304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9461148019200).

7982817244304 is an abundant number, since it is smaller than the sum of its proper divisors (10939478794096).

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

7982817244304 is a wasteful number, since it uses less digits than its factorization.

7982817244304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34901 (or 34895 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 59.

The spelling of 7982817244304 in words is "seven trillion, nine hundred eighty-two billion, eight hundred seventeen million, two hundred forty-four thousand, three hundred four".