6867577728 has 192 divisors, whose sum is σ = 22497022080. Its totient is φ = 1990517760.

The previous prime is 6867577727. The next prime is 6867577747. The reversal of 6867577728 is 8277757686.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6867577723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279675 + ... + 303237.

It is an arithmetic number, because the mean of its divisors is an integer number (117171990).

Almost surely, 2^6867577728 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 6867577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11248511040).

6867577728 is an abundant number, since it is smaller than the sum of its proper divisors (15629444352).

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

6867577728 is a wasteful number, since it uses less digits than its factorization.

6867577728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23617 (or 23602 counting only the distinct ones).

The product of its digits is 55319040, while the sum is 63.

The square root of 6867577728 is about 82870.8496879331. The cubic root of 6867577728 is about 1900.7917040416.

The spelling of 6867577728 in words is "six billion, eight hundred sixty-seven million, five hundred seventy-seven thousand, seven hundred twenty-eight".