164364288000 has 704 divisors, whose sum is σ = 628138817280. Its totient is φ = 37748736000.

The previous prime is 164364287999. The next prime is 164364288013. The reversal of 164364288000 is 882463461.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8650751991 + ... + 8650752009.

Almost surely, 2^164364288000 is an apocalyptic number.

164364288000 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 164364288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314069408640).

164364288000 is an abundant number, since it is smaller than the sum of its proper divisors (463774529280).

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

164364288000 is an frugal number, since it uses more digits than its factorization.

164364288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 164364288000 in words is "one hundred sixty-four billion, three hundred sixty-four million, two hundred eighty-eight thousand".