66219379200 has 1200 divisors, whose sum is σ = 280427910840. Its totient is φ = 15341322240.

The previous prime is 66219379199. The next prime is 66219379207. The reversal of 66219379200 is 297391266.

It is a happy number.

66219379200 is a `hidden beast` number, since 6 + 62 + 19 + 379 + 200 = 666.

66219379200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 740710656 + 65478668544 = 27216^2 + 255888^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66219379207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3895257592 + ... + 3895257608.

Almost surely, 2^66219379200 is an apocalyptic number.

66219379200 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 66219379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140213955420).

66219379200 is an abundant number, since it is smaller than the sum of its proper divisors (214208531640).

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

66219379200 is an equidigital number, since it uses as much as digits as its factorization.

66219379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 66219379200 in words is "sixty-six billion, two hundred nineteen million, three hundred seventy-nine thousand, two hundred".