10665427968 has 132 divisors (see below), whose sum is σ = 33165502188. Its totient is φ = 3281633280.

The previous prime is 10665427963. The next prime is 10665428021. The reversal of 10665427968 is 86972456601.

10665427968 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 542 + 7 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4362338304 + 6303089664 = 66048^2 + 79392^2 .

It is a super-2 number, since 2×10665427968² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10665427961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75298 + ... + 164318.

Almost surely, 2^10665427968 is an apocalyptic number.

10665427968 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 10665427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582751094).

10665427968 is an abundant number, since it is smaller than the sum of its proper divisors (22500074220).

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

10665427968 is a wasteful number, since it uses less digits than its factorization.

10665427968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89060 (or 89039 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10665427968 in words is "ten billion, six hundred sixty-five million, four hundred twenty-seven thousand, nine hundred sixty-eight".