6824538504 has 72 divisors (see below), whose sum is σ = 21500789310. Its totient is φ = 1949867136.

The previous prime is 6824538473. The next prime is 6824538551. The reversal of 6824538504 is 4058354286.

6824538504 is a `hidden beast` number, since 68 + 2 + 4 + 538 + 50 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6241316004 + 583222500 = 79002^2 + 24150^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 6824538504.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 963669 + ... + 970724.

Almost surely, 2^6824538504 is an apocalyptic number.

It is an amenable number.

6824538504 is an abundant number, since it is smaller than the sum of its proper divisors (14676250806).

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

6824538504 is a wasteful number, since it uses less digits than its factorization.

6824538504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934419 (or 1934405 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 6824538504 is about 82610.7650612195. The cubic root of 6824538504 is about 1896.8126156689.

The spelling of 6824538504 in words is "six billion, eight hundred twenty-four million, five hundred thirty-eight thousand, five hundred four".