64171022400 has 189 divisors, whose sum is σ = 228187059373. Its totient is φ = 17104166400.

The previous prime is 64171022387. The next prime is 64171022401. The reversal of 64171022400 is 422017146.

The square root of 64171022400 is 253320.

It is a perfect power (a square), and thus also a powerful number.

64171022400 is a `hidden beast` number, since 6 + 417 + 1 + 0 + 2 + 240 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23101568064 + 41069454336 = 151992^2 + 202656^2 .

It is a super-2 number, since 2×64171022400² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64171022401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30397345 + ... + 30399455.

Almost surely, 2^64171022400 is an apocalyptic number.

64171022400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64171022400 is the 253320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64171022400

64171022400 is an abundant number, since it is smaller than the sum of its proper divisors (164016036973).

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

64171022400 is an equidigital number, since it uses as much as digits as its factorization.

64171022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 64171022400 its reverse (422017146), we get a palindrome (64593039546).

The spelling of 64171022400 in words is "sixty-four billion, one hundred seventy-one million, twenty-two thousand, four hundred".