164472422400 has 1296 divisors, whose sum is σ = 713825874720. Its totient is φ = 36805017600.

The previous prime is 164472422399. The next prime is 164472422407. The reversal of 164472422400 is 4224274461.

164472422400 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 7 + 242 + 2 + 400 = 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 (164472422407) 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, 12651724794 + ... + 12651724806.

It is an arithmetic number, because the mean of its divisors is an integer number (550791570).

Almost surely, 2^164472422400 is an apocalyptic number.

164472422400 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 164472422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356912937360).

164472422400 is an abundant number, since it is smaller than the sum of its proper divisors (549353452320).

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

164472422400 is an equidigital number, since it uses as much as digits as its factorization.

164472422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Adding to 164472422400 its reverse (4224274461), we get a palindrome (168696696861).

The spelling of 164472422400 in words is "one hundred sixty-four billion, four hundred seventy-two million, four hundred twenty-two thousand, four hundred".