8331209604 has 144 divisors (see below), whose sum is σ = 22722336000. Its totient is φ = 2565908928.

The previous prime is 8331209591. The next prime is 8331209609. The reversal of 8331209604 is 4069021338.

8331209604 is a `hidden beast` number, since 8 + 33 + 12 + 0 + 9 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8331209609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4902747 + ... + 4904445.

It is an arithmetic number, because the mean of its divisors is an integer number (157794000).

Almost surely, 2^8331209604 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 8331209604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11361168000).

8331209604 is an abundant number, since it is smaller than the sum of its proper divisors (14391126396).

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

8331209604 is a wasteful number, since it uses less digits than its factorization.

8331209604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 8331209604 is about 91275.4600317084. The cubic root of 8331209604 is about 2027.2284245481.

It can be divided in two parts, 833120 and 9604, that added together give a square (842724 = 918²).

The spelling of 8331209604 in words is "eight billion, three hundred thirty-one million, two hundred nine thousand, six hundred four".