64171164200 has 144 divisors (see below), whose sum is σ = 176610271740. Its totient is φ = 21539865600.

The previous prime is 64171164179. The next prime is 64171164203. The reversal of 64171164200 is 246117146.

It can be written as a sum of positive squares in 6 ways, for example, as 32235329764 + 31935834436 = 179542^2 + 178706^2 .

It is not an unprimeable number, because it can be changed into a prime (64171164203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 212612 + ... + 416588.

Almost surely, 2^64171164200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64171164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88305135870).

64171164200 is an abundant number, since it is smaller than the sum of its proper divisors (112439107540).

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

64171164200 is a wasteful number, since it uses less digits than its factorization.

64171164200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204028 (or 204008 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 64171164200 in words is "sixty-four billion, one hundred seventy-one million, one hundred sixty-four thousand, two hundred".