66952300320 has 288 divisors, whose sum is σ = 246097051200. Its totient is φ = 16520620032.

The previous prime is 66952300307. The next prime is 66952300357. The reversal of 66952300320 is 2300325966.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×66952300320² (a number of 22 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1148026 + ... + 1204934.

It is an arithmetic number, because the mean of its divisors is an integer number (854503650).

Almost surely, 2^66952300320 is an apocalyptic number.

66952300320 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 66952300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123048525600).

66952300320 is an abundant number, since it is smaller than the sum of its proper divisors (179144750880).

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

66952300320 is a wasteful number, since it uses less digits than its factorization.

66952300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56992 (or 56981 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 66952300320 in words is "sixty-six billion, nine hundred fifty-two million, three hundred thousand, three hundred twenty".