164021679360 has 1728 divisors, whose sum is σ = 764508326400. Its totient is φ = 31425822720.

The previous prime is 164021679359. The next prime is 164021679361. The reversal of 164021679360 is 63976120461.

164021679360 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 216 + 79 + 360 = 666.

164021679360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164021679359) and next prime (164021679361).

It is a super-2 number, since 2×164021679360² (a number of 23 digits) contains 22 as substring.

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 (164021679361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1100816566 + ... + 1100816714.

It is an arithmetic number, because the mean of its divisors is an integer number (442423800).

Almost surely, 2^164021679360 is an apocalyptic number.

164021679360 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 164021679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382254163200).

164021679360 is an abundant number, since it is smaller than the sum of its proper divisors (600486647040).

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

164021679360 is a wasteful number, since it uses less digits than its factorization.

164021679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 164021679360 in words is "one hundred sixty-four billion, twenty-one million, six hundred seventy-nine thousand, three hundred sixty".