6824538672 has 80 divisors (see below), whose sum is σ = 20253227520. Its totient is φ = 1939746816.

The previous prime is 6824538653. The next prime is 6824538689. The reversal of 6824538672 is 2768354286.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12229 + ... + 117467.

It is an arithmetic number, because the mean of its divisors is an integer number (253165344).

Almost surely, 2^6824538672 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 6824538672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10126613760).

6824538672 is an abundant number, since it is smaller than the sum of its proper divisors (13428688848).

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

6824538672 is a wasteful number, since it uses less digits than its factorization.

6824538672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105450 (or 105444 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 6824538672 is about 82610.7660780361. The cubic root of 6824538672 is about 1896.8126312336.

It can be divided in two parts, 682 and 4538672, that added together give a palindrome (4539354).

The spelling of 6824538672 in words is "six billion, eight hundred twenty-four million, five hundred thirty-eight thousand, six hundred seventy-two".