164074020000 has 240 divisors, whose sum is σ = 587124834912. Its totient is φ = 39775360000.

The previous prime is 164074019953. The next prime is 164074020083. The reversal of 164074020000 is 20470461.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 535702 + ... + 784298.

Almost surely, 2^164074020000 is an apocalyptic number.

164074020000 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 164074020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293562417456).

164074020000 is an abundant number, since it is smaller than the sum of its proper divisors (423050814912).

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

164074020000 is a wasteful number, since it uses less digits than its factorization.

164074020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248641 (or 248618 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 164074020000 its reverse (20470461), we get a palindrome (164094490461).

The spelling of 164074020000 in words is "one hundred sixty-four billion, seventy-four million, twenty thousand".