6983718131040 has 384 divisors, whose sum is σ = 26597652480000. Its totient is φ = 1504661723136.

The previous prime is 6983718131017. The next prime is 6983718131153. The reversal of 6983718131040 is 401318173896.

It is a happy number.

It is a super-2 number, since 2×6983718131040² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12429301 + ... + 12979019.

It is an arithmetic number, because the mean of its divisors is an integer number (69264720000).

Almost surely, 2^{6983718131040} is an apocalyptic number.

6983718131040 is a gapful number since it is divisible by the number (60) 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 6983718131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13298826240000).

6983718131040 is an abundant number, since it is smaller than the sum of its proper divisors (19613934348960).

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

6983718131040 is a wasteful number, since it uses less digits than its factorization.

6983718131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549962 (or 549954 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 6983718131040 in words is "six trillion, nine hundred eighty-three billion, seven hundred eighteen million, one hundred thirty-one thousand, forty".