10068436224 has 864 divisors, whose sum is σ = 39794227200. Its totient is φ = 2368880640.

The previous prime is 10068436207. The next prime is 10068436229. The reversal of 10068436224 is 42263486001.

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 (10068436229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97751757 + ... + 97751859.

Almost surely, 2^10068436224 is an apocalyptic number.

10068436224 is a gapful number since it is divisible by the number (14) 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 10068436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897113600).

10068436224 is an abundant number, since it is smaller than the sum of its proper divisors (29725790976).

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

10068436224 is a wasteful number, since it uses less digits than its factorization.

10068436224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10068436224 in words is "ten billion, sixty-eight million, four hundred thirty-six thousand, two hundred twenty-four".