164605602960 has 360 divisors, whose sum is σ = 586580956416. Its totient is φ = 41323115520.

The previous prime is 164605602949. The next prime is 164605602961. The reversal of 164605602960 is 69206506461.

164605602960 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 0 + 560 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (164605602961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30553387 + ... + 30558773.

Almost surely, 2^164605602960 is an apocalyptic number.

164605602960 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 164605602960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293290478208).

164605602960 is an abundant number, since it is smaller than the sum of its proper divisors (421975353456).

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

164605602960 is a wasteful number, since it uses less digits than its factorization.

164605602960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 164605602960 in words is "one hundred sixty-four billion, six hundred five million, six hundred two thousand, nine hundred sixty".