6824735136 has 96 divisors (see below), whose sum is σ = 21076433280. Its totient is φ = 2141088768.

The previous prime is 6824735131. The next prime is 6824735147. The reversal of 6824735136 is 6315374286.

6824735136 is a `hidden beast` number, since 68 + 2 + 4 + 73 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 6824735091 and 6824735100.

It is not an unprimeable number, because it can be changed into a prime (6824735131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217636 + ... + 247011.

It is an arithmetic number, because the mean of its divisors is an integer number (219546180).

Almost surely, 2^6824735136 is an apocalyptic number.

It is an amenable number.

6824735136 is an abundant number, since it is smaller than the sum of its proper divisors (14251698144).

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

6824735136 is a wasteful number, since it uses less digits than its factorization.

6824735136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464683 (or 464669 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 6824735136 is about 82611.9551638865. The cubic root of 6824735136 is about 1896.8308327970.

The spelling of 6824735136 in words is "six billion, eight hundred twenty-four million, seven hundred thirty-five thousand, one hundred thirty-six".