10068411600 has 720 divisors, whose sum is σ = 40437342400. Its totient is φ = 2312893440.

The previous prime is 10068411599. The next prime is 10068411629. The reversal of 10068411600 is 611486001.

10068411600 is a `hidden beast` number, since 10 + 0 + 6 + 8 + 41 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150274767 + ... + 150274833.

Almost surely, 2^10068411600 is an apocalyptic number.

10068411600 is a gapful number since it is divisible by the number (10) 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 10068411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20218671200).

10068411600 is an abundant number, since it is smaller than the sum of its proper divisors (30368930800).

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

10068411600 is a wasteful number, since it uses less digits than its factorization.

10068411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10068411600 its reverse (611486001), we get a palindrome (10679897601).

The spelling of 10068411600 in words is "ten billion, sixty-eight million, four hundred eleven thousand, six hundred".