164446064640 has 1248 divisors, whose sum is σ = 710986139136. Its totient is φ = 34540093440.

The previous prime is 164446064639. The next prime is 164446064647. The reversal of 164446064640 is 46460644461.

164446064640 is a `hidden beast` number, since 164 + 446 + 0 + 6 + 4 + 6 + 40 = 666.

164446064640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164446064647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 448081737 + ... + 448082103.

It is an arithmetic number, because the mean of its divisors is an integer number (569700432).

Almost surely, 2^164446064640 is an apocalyptic number.

164446064640 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 164446064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355493069568).

164446064640 is an abundant number, since it is smaller than the sum of its proper divisors (546540074496).

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

164446064640 is a wasteful number, since it uses less digits than its factorization.

164446064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 164446064640 in words is "one hundred sixty-four billion, four hundred forty-six million, sixty-four thousand, six hundred forty".