66192846720 has 1536 divisors, whose sum is σ = 297557729280. Its totient is φ = 12165120000.

The previous prime is 66192846719. The next prime is 66192846721. The reversal of 66192846720 is 2764829166.

It is an interprime number because it is at equal distance from previous prime (66192846719) and next prime (66192846721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66192846721) 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 191 ways as a sum of consecutive naturals, for example, 655374670 + ... + 655374770.

It is an arithmetic number, because the mean of its divisors is an integer number (193722480).

Almost surely, 2^66192846720 is an apocalyptic number.

66192846720 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 66192846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148778864640).

66192846720 is an abundant number, since it is smaller than the sum of its proper divisors (231364882560).

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

66192846720 is a wasteful number, since it uses less digits than its factorization.

66192846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 66192846720 in words is "sixty-six billion, one hundred ninety-two million, eight hundred forty-six thousand, seven hundred twenty".