66573164709792 has 144 divisors (see below), whose sum is σ = 203982127378848. Its totient is φ = 20473821688320.

The previous prime is 66573164709791. The next prime is 66573164709811. The reversal of 66573164709792 is 29790746137566.

66573164709792 is a `hidden beast` number, since 6 + 6 + 5 + 73 + 16 + 470 + 9 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 66573164709792.

It is not an unprimeable number, because it can be changed into a prime (66573164709791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3060567 + ... + 11937897.

It is an arithmetic number, because the mean of its divisors is an integer number (1416542551242).

Almost surely, 2^{66573164709792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66573164709792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101991063689424).

66573164709792 is an abundant number, since it is smaller than the sum of its proper divisors (137408962669056).

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

66573164709792 is a wasteful number, since it uses less digits than its factorization.

66573164709792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8879363 (or 8879352 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 72.

The spelling of 66573164709792 in words is "sixty-six trillion, five hundred seventy-three billion, one hundred sixty-four million, seven hundred nine thousand, seven hundred ninety-two".