164329159680 has 1056 divisors, whose sum is σ = 684392342400. Its totient is φ = 36415733760.

The previous prime is 164329159637. The next prime is 164329159733. The reversal of 164329159680 is 86951923461.

164329159680 is a `hidden beast` number, since 1 + 6 + 43 + 2 + 9 + 1 + 596 + 8 + 0 = 666.

It is a super-2 number, since 2×164329159680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 584801140 + ... + 584801420.

Almost surely, 2^164329159680 is an apocalyptic number.

164329159680 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 164329159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342196171200).

164329159680 is an abundant number, since it is smaller than the sum of its proper divisors (520063182720).

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

164329159680 is a wasteful number, since it uses less digits than its factorization.

164329159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 164329159680 in words is "one hundred sixty-four billion, three hundred twenty-nine million, one hundred fifty-nine thousand, six hundred eighty".