10084324068 has 504 divisors, whose sum is σ = 34068678840. Its totient is φ = 2586608640.

The previous prime is 10084324067. The next prime is 10084324091. The reversal of 10084324068 is 86042348001.

It can be written as a sum of positive squares in 4 ways, for example, as 720278244 + 9364045824 = 26838^2 + 96768^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084324067) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 113306968 + ... + 113307056.

It is an arithmetic number, because the mean of its divisors is an integer number (67596585).

Almost surely, 2^10084324068 is an apocalyptic number.

10084324068 is a gapful number since it is divisible by the number (18) 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 10084324068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034339420).

10084324068 is an abundant number, since it is smaller than the sum of its proper divisors (23984354772).

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

10084324068 is a wasteful number, since it uses less digits than its factorization.

10084324068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10084324068 in words is "ten billion, eighty-four million, three hundred twenty-four thousand, sixty-eight".