10668163968 has 960 divisors, whose sum is σ = 42547317120. Its totient is φ = 2618542080.

The previous prime is 10668163949. The next prime is 10668163981. The reversal of 10668163968 is 86936186601.

It is a super-2 number, since 2×10668163968² (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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 128532055 + ... + 128532137.

It is an arithmetic number, because the mean of its divisors is an integer number (44320122).

Almost surely, 2^10668163968 is an apocalyptic number.

10668163968 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 10668163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273658560).

10668163968 is an abundant number, since it is smaller than the sum of its proper divisors (31879153152).

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

10668163968 is a wasteful number, since it uses less digits than its factorization.

10668163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10668163968 in words is "ten billion, six hundred sixty-eight million, one hundred sixty-three thousand, nine hundred sixty-eight".