164650622400 has 672 divisors, whose sum is σ = 675959592960. Its totient is φ = 38624256000.

The previous prime is 164650622387. The next prime is 164650622417. The reversal of 164650622400 is 4226056461.

164650622400 is a `hidden beast` number, since 1 + 646 + 5 + 0 + 6 + 2 + 2 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14725612 + ... + 14736788.

Almost surely, 2^164650622400 is an apocalyptic number.

164650622400 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 164650622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337979796480).

164650622400 is an abundant number, since it is smaller than the sum of its proper divisors (511308970560).

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

164650622400 is a wasteful number, since it uses less digits than its factorization.

164650622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11250 (or 11229 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 164650622400 its reverse (4226056461), we get a palindrome (168876678861).

The spelling of 164650622400 in words is "one hundred sixty-four billion, six hundred fifty million, six hundred twenty-two thousand, four hundred".