6890838528 has 320 divisors, whose sum is σ = 22391424000. Its totient is φ = 1839366144.

The previous prime is 6890838491. The next prime is 6890838557. The reversal of 6890838528 is 8258380986.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18181443 + ... + 18181821.

It is an arithmetic number, because the mean of its divisors is an integer number (69973200).

Almost surely, 2^6890838528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6890838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195712000).

6890838528 is an abundant number, since it is smaller than the sum of its proper divisors (15500585472).

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

6890838528 is a wasteful number, since it uses less digits than its factorization.

6890838528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The square root of 6890838528 is about 83011.0747310261. The cubic root of 6890838528 is about 1902.9353085229.

The spelling of 6890838528 in words is "six billion, eight hundred ninety million, eight hundred thirty-eight thousand, five hundred twenty-eight".