164574072000 has 1792 divisors, whose sum is σ = 702961459200. Its totient is φ = 37391155200.

The previous prime is 164574071999. The next prime is 164574072017. The reversal of 164574072000 is 270475461.

164574072000 is a `hidden beast` number, since 1 + 6 + 45 + 7 + 407 + 200 + 0 = 666.

It is a super-2 number, since 2×164574072000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 3501575977 + ... + 3501576023.

It is an arithmetic number, because the mean of its divisors is an integer number (392277600).

Almost surely, 2^164574072000 is an apocalyptic number.

164574072000 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 164574072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351480729600).

164574072000 is an abundant number, since it is smaller than the sum of its proper divisors (538387387200).

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

164574072000 is a wasteful number, since it uses less digits than its factorization.

164574072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 164574072000 in words is "one hundred sixty-four billion, five hundred seventy-four million, seventy-two thousand".