4064164161664 has 64 divisors (see below), whose sum is σ = 8290143995040. Its totient is φ = 1984037400576.

The previous prime is 4064164161653. The next prime is 4064164161667. The reversal of 4064164161664 is 4661614614604.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4064164161667) 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 7 ways as a sum of consecutive naturals, for example, 1127814 + ... + 3065989.

Almost surely, 2^{4064164161664} is an apocalyptic number.

It is an amenable number.

4064164161664 is an abundant number, since it is smaller than the sum of its proper divisors (4225979833376).

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

4064164161664 is a wasteful number, since it uses less digits than its factorization.

4064164161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193997 (or 4193985 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 4064164161664 in words is "four trillion, sixty-four billion, one hundred sixty-four million, one hundred sixty-one thousand, six hundred sixty-four".