6838565760 has 384 divisors, whose sum is σ = 25600498560. Its totient is φ = 1672151040.

The previous prime is 6838565743. The next prime is 6838565801. The reversal of 6838565760 is 675658386.

6838565760 is a `hidden beast` number, since 6 + 8 + 3 + 8 + 565 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 6838565697 and 6838565706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20292312 + ... + 20292648.

It is an arithmetic number, because the mean of its divisors is an integer number (66667965).

Almost surely, 2^6838565760 is an apocalyptic number.

6838565760 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 6838565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12800249280).

6838565760 is an abundant number, since it is smaller than the sum of its proper divisors (18761932800).

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

6838565760 is a wasteful number, since it uses less digits than its factorization.

6838565760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 6838565760 is about 82695.6211658151. The cubic root of 6838565760 is about 1898.1113050671. Note that the first 3 decimals are identical.

The spelling of 6838565760 in words is "six billion, eight hundred thirty-eight million, five hundred sixty-five thousand, seven hundred sixty".