164159815680 has 756 divisors, whose sum is σ = 671323200912. Its totient is φ = 36993761280.

The previous prime is 164159815639. The next prime is 164159815723. The reversal of 164159815680 is 86518951461.

164159815680 is a `hidden beast` number, since 1 + 6 + 41 + 598 + 1 + 5 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×164159815680³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2312110045 + ... + 2312110115.

It is an arithmetic number, because the mean of its divisors is an integer number (887993652).

Almost surely, 2^164159815680 is an apocalyptic number.

164159815680 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 164159815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335661600456).

164159815680 is an abundant number, since it is smaller than the sum of its proper divisors (507163385232).

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

164159815680 is an frugal number, since it uses more digits than its factorization.

164159815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 164159815680 in words is "one hundred sixty-four billion, one hundred fifty-nine million, eight hundred fifteen thousand, six hundred eighty".