9825204672 has 126 divisors (see below), whose sum is σ = 29916727568. Its totient is φ = 3082364928.

The previous prime is 9825204671. The next prime is 9825204691. The reversal of 9825204672 is 2764025289.

9825204672 is a `hidden beast` number, since 9 + 82 + 520 + 46 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9825204671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 136953 + ... + 195975.

Almost surely, 2^9825204672 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 9825204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14958363784).

9825204672 is an abundant number, since it is smaller than the sum of its proper divisors (20091522896).

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

9825204672 is a wasteful number, since it uses less digits than its factorization.

9825204672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59075 (or 59045 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 9825204672 is about 99122.1704362853. The cubic root of 9825204672 is about 2141.8079948832.

The spelling of 9825204672 in words is "nine billion, eight hundred twenty-five million, two hundred four thousand, six hundred seventy-two".