8329200000 has 384 divisors, whose sum is σ = 30215566080. Its totient is φ = 2016000000.

The previous prime is 8329199971. The next prime is 8329200017. The reversal of 8329200000 is 29238.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13199685 + ... + 13200315.

It is an arithmetic number, because the mean of its divisors is an integer number (78686370).

Almost surely, 2^8329200000 is an apocalyptic number.

8329200000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8329200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15107783040).

8329200000 is an abundant number, since it is smaller than the sum of its proper divisors (21886366080).

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

8329200000 is an equidigital number, since it uses as much as digits as its factorization.

8329200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 8329200000 is about 91264.4509105270. The cubic root of 8329200000 is about 2027.0654128467.

Adding to 8329200000 its reverse (29238), we get a palindrome (8329229238).

The spelling of 8329200000 in words is "eight billion, three hundred twenty-nine million, two hundred thousand".