4006965168 has 30 divisors (see below), whose sum is σ = 11213937644. Its totient is φ = 1335655008.

The previous prime is 4006965139. The next prime is 4006965169. The reversal of 4006965168 is 8615696004.

4006965168 is a `hidden beast` number, since 40 + 0 + 6 + 96 + 516 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4006965169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13912930 + ... + 13913217.

Almost surely, 2^4006965168 is an apocalyptic number.

4006965168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4006965168 is an abundant number, since it is smaller than the sum of its proper divisors (7206972476).

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

4006965168 is a wasteful number, since it uses less digits than its factorization.

4006965168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27826161 (or 27826152 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4006965168 is about 63300.5937412912. The cubic root of 4006965168 is about 1588.3218939408.

The spelling of 4006965168 in words is "four billion, six million, nine hundred sixty-five thousand, one hundred sixty-eight".