164508664320 has 1440 divisors, whose sum is σ = 779389490880. Its totient is φ = 31523143680.

The previous prime is 164508664297. The next prime is 164508664393. The reversal of 164508664320 is 23466805461.

164508664320 is a `hidden beast` number, since 1 + 64 + 508 + 6 + 64 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161440771 + ... + 161441789.

It is an arithmetic number, because the mean of its divisors is an integer number (541242702).

Almost surely, 2^164508664320 is an apocalyptic number.

164508664320 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 164508664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389694745440).

164508664320 is an abundant number, since it is smaller than the sum of its proper divisors (614880826560).

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

164508664320 is a wasteful number, since it uses less digits than its factorization.

164508664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

It can be divided in two parts, 164508 and 664320, that added together give a palindrome (828828).

The spelling of 164508664320 in words is "one hundred sixty-four billion, five hundred eight million, six hundred sixty-four thousand, three hundred twenty".