164236206960 has 960 divisors, whose sum is σ = 680870707200. Its totient is φ = 35637719040.

The previous prime is 164236206941. The next prime is 164236206961. The reversal of 164236206960 is 69602632461.

164236206960 is a `hidden beast` number, since 16 + 4 + 2 + 3 + 620 + 6 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164236206961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1293198417 + ... + 1293198543.

It is an arithmetic number, because the mean of its divisors is an integer number (709240320).

Almost surely, 2^164236206960 is an apocalyptic number.

164236206960 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 164236206960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340435353600).

164236206960 is an abundant number, since it is smaller than the sum of its proper divisors (516634500240).

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

164236206960 is a wasteful number, since it uses less digits than its factorization.

164236206960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 164236206960 in words is "one hundred sixty-four billion, two hundred thirty-six million, two hundred six thousand, nine hundred sixty".