164346848640 has 960 divisors, whose sum is σ = 654803145360. Its totient is φ = 39361241088.

The previous prime is 164346848623. The next prime is 164346848663. The reversal of 164346848640 is 46848643461.

It is a happy number.

164346848640 is a `hidden beast` number, since 1 + 64 + 3 + 4 + 68 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 4441806702 + ... + 4441806738.

Almost surely, 2^164346848640 is an apocalyptic number.

164346848640 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 164346848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327401572680).

164346848640 is an abundant number, since it is smaller than the sum of its proper divisors (490456296720).

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

164346848640 is an frugal number, since it uses more digits than its factorization.

164346848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 164346848640 in words is "one hundred sixty-four billion, three hundred forty-six million, eight hundred forty-eight thousand, six hundred forty".