6859938919680 has 1728 divisors, whose sum is σ = 31638353241600. Its totient is φ = 1376118374400.

The previous prime is 6859938919667. The next prime is 6859938919699. The reversal of 6859938919680 is 869198399586.

It is a happy number.

6859938919680 is a `hidden beast` number, since 6 + 8 + 599 + 3 + 8 + 9 + 19 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a self number, because there is not a number n which added to its sum of digits gives 6859938919680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 848893240 + ... + 848901320.

It is an arithmetic number, because the mean of its divisors is an integer number (18309232200).

Almost surely, 2^{6859938919680} is an apocalyptic number.

6859938919680 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 6859938919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15819176620800).

6859938919680 is an abundant number, since it is smaller than the sum of its proper divisors (24778414321920).

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

6859938919680 is a wasteful number, since it uses less digits than its factorization.

6859938919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8169 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 1813985280, while the sum is 81.

The spelling of 6859938919680 in words is "six trillion, eight hundred fifty-nine billion, nine hundred thirty-eight million, nine hundred nineteen thousand, six hundred eighty".