164407680 has 384 divisors, whose sum is σ = 635843520. Its totient is φ = 38928384.

The previous prime is 164407669. The next prime is 164407693. The reversal of 164407680 is 86704461.

164407680 is a `hidden beast` number, since 1 + 644 + 0 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×164407680³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2252124 + ... + 2252196.

Almost surely, 2^164407680 is an apocalyptic number.

164407680 is a gapful number since it is divisible by the number (10) 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 164407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317921760).

164407680 is an abundant number, since it is smaller than the sum of its proper divisors (471435840).

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

164407680 is a wasteful number, since it uses less digits than its factorization.

164407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 164407680 is about 12822.1558249773. The cubic root of 164407680 is about 547.8235530462.

The spelling of 164407680 in words is "one hundred sixty-four million, four hundred seven thousand, six hundred eighty".