66120883200 has 528 divisors, whose sum is σ = 246020250720. Its totient is φ = 17617305600.

The previous prime is 66120883193. The next prime is 66120883217. The reversal of 66120883200 is 238802166.

66120883200 is a `hidden beast` number, since 6 + 612 + 0 + 8 + 8 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55986610 + ... + 55987790.

Almost surely, 2^66120883200 is an apocalyptic number.

66120883200 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 66120883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123010125360).

66120883200 is an abundant number, since it is smaller than the sum of its proper divisors (179899367520).

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

66120883200 is an equidigital number, since it uses as much as digits as its factorization.

66120883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 66120883200 in words is "sixty-six billion, one hundred twenty million, eight hundred eighty-three thousand, two hundred".