164209680000 has 480 divisors, whose sum is σ = 612415964160. Its totient is φ = 43784064000.

The previous prime is 164209679939. The next prime is 164209680007. The reversal of 164209680000 is 86902461.

164209680000 is a `hidden beast` number, since 1 + 642 + 0 + 9 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (164209680007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19435777 + ... + 19444223.

It is an arithmetic number, because the mean of its divisors is an integer number (1275866592).

Almost surely, 2^164209680000 is an apocalyptic number.

164209680000 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 164209680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306207982080).

164209680000 is an abundant number, since it is smaller than the sum of its proper divisors (448206284160).

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

164209680000 is an frugal number, since it uses more digits than its factorization.

164209680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8496 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 164209680000 in words is "one hundred sixty-four billion, two hundred nine million, six hundred eighty thousand".