8329020000 has 360 divisors, whose sum is σ = 31792616856. Its totient is φ = 1903104000.

The previous prime is 8329019981. The next prime is 8329020017. The reversal of 8329020000 is 209238.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2938584 + ... + 2941416.

Almost surely, 2^8329020000 is an apocalyptic number.

8329020000 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 8329020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896308428).

8329020000 is an abundant number, since it is smaller than the sum of its proper divisors (23463596856).

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

8329020000 is a wasteful number, since it uses less digits than its factorization.

8329020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2850 counting only the distinct ones).

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

The square root of 8329020000 is about 91263.4647600013. The cubic root of 8329020000 is about 2027.0508106278.

Adding to 8329020000 its reverse (209238), we get a palindrome (8329229238).

The spelling of 8329020000 in words is "eight billion, three hundred twenty-nine million, twenty thousand".