164606307264 has 672 divisors, whose sum is σ = 598683770880. Its totient is φ = 42157615104.

The previous prime is 164606307179. The next prime is 164606307343. The reversal of 164606307264 is 462703606461.

It is a happy number.

164606307264 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 0 + 630 + 7 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 181483899 + ... + 181484805.

Almost surely, 2^164606307264 is an apocalyptic number.

164606307264 is a gapful number since it is divisible by the number (14) 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 164606307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299341885440).

164606307264 is an abundant number, since it is smaller than the sum of its proper divisors (434077463616).

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

164606307264 is a wasteful number, since it uses less digits than its factorization.

164606307264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 164606307264 in words is "one hundred sixty-four billion, six hundred six million, three hundred seven thousand, two hundred sixty-four".