66705811200 has 432 divisors, whose sum is σ = 279551829760. Its totient is φ = 15246766080.

The previous prime is 66705811121. The next prime is 66705811219. The reversal of 66705811200 is 211850766.

66705811200 is a `hidden beast` number, since 6 + 6 + 70 + 581 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a zygodrome in base 2.

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, 1182027 + ... + 1237173.

Almost surely, 2^66705811200 is an apocalyptic number.

66705811200 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 66705811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139775914880).

66705811200 is an abundant number, since it is smaller than the sum of its proper divisors (212846018560).

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

66705811200 is a wasteful number, since it uses less digits than its factorization.

66705811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55189 (or 55164 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 66705811200 in words is "sixty-six billion, seven hundred five million, eight hundred eleven thousand, two hundred".