164810905380 has 576 divisors, whose sum is σ = 594991837440. Its totient is φ = 36473241600.

The previous prime is 164810905361. The next prime is 164810905393. The reversal of 164810905380 is 83509018461.

164810905380 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 109 + 0 + 538 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 423678226 + ... + 423678614.

It is an arithmetic number, because the mean of its divisors is an integer number (1032971940).

Almost surely, 2^164810905380 is an apocalyptic number.

164810905380 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 164810905380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297495918720).

164810905380 is an abundant number, since it is smaller than the sum of its proper divisors (430180932060).

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

164810905380 is a wasteful number, since it uses less digits than its factorization.

164810905380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 164810905380 in words is "one hundred sixty-four billion, eight hundred ten million, nine hundred five thousand, three hundred eighty".