6983390809920 has 1792 divisors, whose sum is σ = 27739940659200. Its totient is φ = 1455142993920.

The previous prime is 6983390809867. The next prime is 6983390809931. The reversal of 6983390809920 is 299080933896.

It is a super-2 number, since 2×6983390809920² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39013356391 + ... + 39013356569.

It is an arithmetic number, because the mean of its divisors is an integer number (15479877600).

Almost surely, 2^{6983390809920} is an apocalyptic number.

6983390809920 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 6983390809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13869970329600).

6983390809920 is an abundant number, since it is smaller than the sum of its proper divisors (20756549849280).

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

6983390809920 is a wasteful number, since it uses less digits than its factorization.

6983390809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 66.

The spelling of 6983390809920 in words is "six trillion, nine hundred eighty-three billion, three hundred ninety million, eight hundred nine thousand, nine hundred twenty".