10668271968 has 192 divisors, whose sum is σ = 31600558080. Its totient is φ = 3501149184.

The previous prime is 10668271967. The next prime is 10668271973. The reversal of 10668271968 is 86917286601.

10668271968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10668271968² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10668271961) 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 31 ways as a sum of consecutive naturals, for example, 27854305 + ... + 27854687.

It is an arithmetic number, because the mean of its divisors is an integer number (164586240).

Almost surely, 2^10668271968 is an apocalyptic number.

10668271968 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 10668271968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15800279040).

10668271968 is an abundant number, since it is smaller than the sum of its proper divisors (20932286112).

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

10668271968 is a wasteful number, since it uses less digits than its factorization.

10668271968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10668271968 in words is "ten billion, six hundred sixty-eight million, two hundred seventy-one thousand, nine hundred sixty-eight".