164536606080 has 1536 divisors, whose sum is σ = 740098944000. Its totient is φ = 33381089280.

The previous prime is 164536605953. The next prime is 164536606081. The reversal of 164536606080 is 80606635461.

164536606080 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 36 + 6 + 0 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164536606081) 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 191 ways as a sum of consecutive naturals, for example, 1456076104 + ... + 1456076216.

It is an arithmetic number, because the mean of its divisors is an integer number (481835250).

Almost surely, 2^164536606080 is an apocalyptic number.

164536606080 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 164536606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370049472000).

164536606080 is an abundant number, since it is smaller than the sum of its proper divisors (575562337920).

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

164536606080 is a wasteful number, since it uses less digits than its factorization.

164536606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 164536606080 in words is "one hundred sixty-four billion, five hundred thirty-six million, six hundred six thousand, eighty".