10068676992 has 576 divisors, whose sum is σ = 34919838720. Its totient is φ = 2757888000.

The previous prime is 10068676991. The next prime is 10068677027. The reversal of 10068676992 is 29967686001.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10068676991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141812317 + ... + 141812387.

It is an arithmetic number, because the mean of its divisors is an integer number (60624720).

Almost surely, 2^10068676992 is an apocalyptic number.

10068676992 is a gapful number since it is divisible by the number (12) 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 10068676992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17459919360).

10068676992 is an abundant number, since it is smaller than the sum of its proper divisors (24851161728).

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

10068676992 is a wasteful number, since it uses less digits than its factorization.

10068676992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10068676992 in words is "ten billion, sixty-eight million, six hundred seventy-six thousand, nine hundred ninety-two".