8329010004 has 240 divisors, whose sum is σ = 25613280000. Its totient is φ = 2359046592.

The previous prime is 8329009981. The next prime is 8329010029. The reversal of 8329010004 is 4000109238.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 8329010004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16558417 + ... + 16558919.

It is an arithmetic number, because the mean of its divisors is an integer number (106722000).

Almost surely, 2^8329010004 is an apocalyptic number.

8329010004 is a gapful number since it is divisible by the number (84) 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 8329010004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806640000).

8329010004 is an abundant number, since it is smaller than the sum of its proper divisors (17284269996).

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

8329010004 is a wasteful number, since it uses less digits than its factorization.

8329010004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8329010004 is about 91263.4099954631. The cubic root of 8329010004 is about 2027.0499997118.

The spelling of 8329010004 in words is "eight billion, three hundred twenty-nine million, ten thousand, four".