66228628233600 has 1344 divisors, whose sum is σ = 296829896358240. Its totient is φ = 14247443496960.

The previous prime is 66228628233589. The next prime is 66228628233641. The reversal of 66228628233600 is 633282682266.

66228628233600 is a `hidden beast` number, since 6 + 6 + 2 + 2 + 8 + 6 + 2 + 8 + 23 + 3 + 600 = 666.

66228628233600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 277483914 + ... + 277722486.

Almost surely, 2^{66228628233600} is an apocalyptic number.

66228628233600 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 66228628233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148414948179120).

66228628233600 is an abundant number, since it is smaller than the sum of its proper divisors (230601268124640).

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

66228628233600 is a wasteful number, since it uses less digits than its factorization.

66228628233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238639 (or 238607 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 66228628233600 in words is "sixty-six trillion, two hundred twenty-eight billion, six hundred twenty-eight million, two hundred thirty-three thousand, six hundred".