6890346352890 has 1024 divisors, whose sum is σ = 25525695283200. Its totient is φ = 1276004275200.

The previous prime is 6890346352867. The next prime is 6890346352943. The reversal of 6890346352890 is 982536430986.

6890346352890 is a `hidden beast` number, since 6 + 8 + 9 + 0 + 346 + 3 + 5 + 289 + 0 = 666.

It is a super-3 number, since 3×6890346352890³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5387291271 + ... + 5387292549.

It is an arithmetic number, because the mean of its divisors is an integer number (24927436800).

Almost surely, 2^{6890346352890} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6890346352890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12762847641600).

6890346352890 is an abundant number, since it is smaller than the sum of its proper divisors (18635348930310).

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

6890346352890 is a wasteful number, since it uses less digits than its factorization.

6890346352890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 6890346352890 in words is "six trillion, eight hundred ninety billion, three hundred forty-six million, three hundred fifty-two thousand, eight hundred ninety".