6836054688 has 288 divisors, whose sum is σ = 22183761600. Its totient is φ = 1983356928.

The previous prime is 6836054657. The next prime is 6836054699. The reversal of 6836054688 is 8864506386.

6836054688 is a `hidden beast` number, since 68 + 36 + 0 + 546 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 3999178 + ... + 4000886.

It is an arithmetic number, because the mean of its divisors is an integer number (77026950).

Almost surely, 2^6836054688 is an apocalyptic number.

6836054688 is a gapful number since it is divisible by the number (68) 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 6836054688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091880800).

6836054688 is an abundant number, since it is smaller than the sum of its proper divisors (15347706912).

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

6836054688 is a wasteful number, since it uses less digits than its factorization.

6836054688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 6836054688 is about 82680.4371541418. The cubic root of 6836054688 is about 1897.8789523672.

The spelling of 6836054688 in words is "six billion, eight hundred thirty-six million, fifty-four thousand, six hundred eighty-eight".