164034027000 has 192 divisors, whose sum is σ = 555089801760. Its totient is φ = 43690752000.

The previous prime is 164034026969. The next prime is 164034027013. The reversal of 164034027000 is 720430461.

164034027000 is a `hidden beast` number, since 16 + 40 + 340 + 270 + 0 + 0 = 666.

164034027000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7936680 + ... + 7957320.

Almost surely, 2^164034027000 is an apocalyptic number.

164034027000 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 164034027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277544900880).

164034027000 is an abundant number, since it is smaller than the sum of its proper divisors (391055774760).

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

164034027000 is a wasteful number, since it uses less digits than its factorization.

164034027000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21551 (or 21534 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 164034027000 its reverse (720430461), we get a palindrome (164754457461).

The spelling of 164034027000 in words is "one hundred sixty-four billion, thirty-four million, twenty-seven thousand".