6982140412896 has 144 divisors (see below), whose sum is σ = 20152085283792. Its totient is φ = 2115138263040.

The previous prime is 6982140412873. The next prime is 6982140412937.

It is a happy number.

6982140412896 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37694460 + ... + 37879236.

It is an arithmetic number, because the mean of its divisors is an integer number (139945036693).

Almost surely, 2^{6982140412896} is an apocalyptic number.

6982140412896 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6982140412896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10076042641896).

6982140412896 is an abundant number, since it is smaller than the sum of its proper divisors (13169944870896).

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

6982140412896 is a wasteful number, since it uses less digits than its factorization.

6982140412896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188065 (or 188046 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 6982140412896 in words is "six trillion, nine hundred eighty-two billion, one hundred forty million, four hundred twelve thousand, eight hundred ninety-six".