164352303360 has 648 divisors, whose sum is σ = 690295919040. Its totient is φ = 35930087424.

The previous prime is 164352303347. The next prime is 164352303361. The reversal of 164352303360 is 63303253461.

164352303360 is a `hidden beast` number, since 1 + 6 + 43 + 523 + 0 + 33 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (164352303361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12976711 + ... + 12989369.

It is an arithmetic number, because the mean of its divisors is an integer number (1065271480).

Almost surely, 2^164352303360 is an apocalyptic number.

164352303360 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 164352303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345147959520).

164352303360 is an abundant number, since it is smaller than the sum of its proper divisors (525943615680).

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

164352303360 is a wasteful number, since it uses less digits than its factorization.

164352303360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12723 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 164352303360 in words is "one hundred sixty-four billion, three hundred fifty-two million, three hundred three thousand, three hundred sixty".