66164034240 has 168 divisors, whose sum is σ = 228232258800. Its totient is φ = 17592920064.

The previous prime is 66164034227. The next prime is 66164034241. The reversal of 66164034240 is 4243046166.

66164034240 is a `hidden beast` number, since 6 + 6 + 1 + 6 + 403 + 4 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 66164034195 and 66164034204.

It is not an unprimeable number, because it can be changed into a prime (66164034241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972207 + ... + 1038033.

It is an arithmetic number, because the mean of its divisors is an integer number (1358525350).

Almost surely, 2^66164034240 is an apocalyptic number.

66164034240 is a gapful number since it is divisible by the number (60) 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 66164034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114116129400).

66164034240 is an abundant number, since it is smaller than the sum of its proper divisors (162068224560).

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

66164034240 is a wasteful number, since it uses less digits than its factorization.

66164034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66199 (or 66186 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 66164034240 in words is "sixty-six billion, one hundred sixty-four million, thirty-four thousand, two hundred forty".