164600504064 has 432 divisors, whose sum is σ = 526064378112. Its totient is φ = 49272717312.

The previous prime is 164600504023. The next prime is 164600504069. The reversal of 164600504064 is 460405006461.

164600504064 is a `hidden beast` number, since 1 + 6 + 4 + 600 + 5 + 0 + 40 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164600504069) 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 47 ways as a sum of consecutive naturals, for example, 76807377 + ... + 76809519.

It is an arithmetic number, because the mean of its divisors is an integer number (1217741616).

Almost surely, 2^164600504064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164600504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263032189056).

164600504064 is an abundant number, since it is smaller than the sum of its proper divisors (361463874048).

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

164600504064 is a wasteful number, since it uses less digits than its factorization.

164600504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 164600504064 in words is "one hundred sixty-four billion, six hundred million, five hundred four thousand, sixty-four".