164689869600 has 144 divisors (see below), whose sum is σ = 595628439840. Its totient is φ = 43917292800.

The previous prime is 164689869563. The next prime is 164689869611. The reversal of 164689869600 is 6968986461.

164689869600 is a `hidden beast` number, since 1 + 6 + 468 + 9 + 86 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3790666 + ... + 3833865.

It is an arithmetic number, because the mean of its divisors is an integer number (4136308610).

Almost surely, 2^164689869600 is an apocalyptic number.

164689869600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164689869600 is an abundant number, since it is smaller than the sum of its proper divisors (430938570240).

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

164689869600 is a wasteful number, since it uses less digits than its factorization.

164689869600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7624560 (or 7624541 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

It can be divided in two parts, 164689 and 869600, that added together give a square (1034289 = 1017²).

The spelling of 164689869600 in words is "one hundred sixty-four billion, six hundred eighty-nine million, eight hundred sixty-nine thousand, six hundred".