66342304900 has 81 divisors (see below), whose sum is σ = 147635102181. Its totient is φ = 25876512480.

The previous prime is 66342304843. The next prime is 66342304901. The reversal of 66342304900 is 940324366.

The square root of 66342304900 is 257570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23883229764 + 42459075136 = 154542^2 + 206056^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66342304900.

It is not an unprimeable number, because it can be changed into a prime (66342304901) 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 26 ways as a sum of consecutive naturals, for example, 110754801 + ... + 110755399.

Almost surely, 2^66342304900 is an apocalyptic number.

66342304900 is the 257570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66342304900

66342304900 is an abundant number, since it is smaller than the sum of its proper divisors (81292797281).

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

66342304900 is an equidigital number, since it uses as much as digits as its factorization.

66342304900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 66342304900 in words is "sixty-six billion, three hundred forty-two million, three hundred four thousand, nine hundred".