164003940676 has 81 divisors (see below), whose sum is σ = 313268865399. Its totient is φ = 75111337728.

The previous prime is 164003940673. The next prime is 164003940679. The reversal of 164003940676 is 676049300461.

It is a happy number.

The square root of 164003940676 is 404974.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (164003940673) and next prime (164003940679).

It can be written as a sum of positive squares in 4 ways, for example, as 626300676 + 163377640000 = 25026^2 + 404200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164003940673) 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 26 ways as a sum of consecutive naturals, for example, 592071850 + ... + 592072126.

Almost surely, 2^164003940676 is an apocalyptic number.

164003940676 is the 404974-th square number.

It is an amenable number.

164003940676 is a deficient number, since it is larger than the sum of its proper divisors (149264924723).

164003940676 is an equidigital number, since it uses as much as digits as its factorization.

164003940676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 164003940676 in words is "one hundred sixty-four billion, three million, nine hundred forty thousand, six hundred seventy-six".