10068949176 has 384 divisors, whose sum is σ = 32698209600. Its totient is φ = 2554675200.

The previous prime is 10068949171. The next prime is 10068949181. The reversal of 10068949176 is 67194986001.

It is a happy number.

10068949176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10068949171) and next prime (10068949181).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10068949171) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 18611466 + ... + 18612006.

Almost surely, 2^10068949176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10068949176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16349104800).

10068949176 is an abundant number, since it is smaller than the sum of its proper divisors (22629260424).

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

10068949176 is a wasteful number, since it uses less digits than its factorization.

10068949176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 10068949176 in words is "ten billion, sixty-eight million, nine hundred forty-nine thousand, one hundred seventy-six".