6982240766448 has 160 divisors (see below), whose sum is σ = 18925502976000. Its totient is φ = 2216054550528.

The previous prime is 6982240766443. The next prime is 6982240766467. The reversal of 6982240766448 is 8446670422896.

It is a Cunningham number, because it is equal to 2642393²-1.

It is a super-2 number, since 2×6982240766448² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6982240766443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15634153 + ... + 16074551.

It is an arithmetic number, because the mean of its divisors is an integer number (118284393600).

Almost surely, 2^{6982240766448} 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 6982240766448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9462751488000).

6982240766448 is an abundant number, since it is smaller than the sum of its proper divisors (11943262209552).

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

6982240766448 is a wasteful number, since it uses less digits than its factorization.

6982240766448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440639 (or 440633 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 66.

The spelling of 6982240766448 in words is "six trillion, nine hundred eighty-two billion, two hundred forty million, seven hundred sixty-six thousand, four hundred forty-eight".