66607963200000 has 1920 divisors, whose sum is σ = 263303347507200. Its totient is φ = 16584099840000.

The previous prime is 66607963199923. The next prime is 66607963200017. The reversal of 66607963200000 is 236970666.

66607963200000 is digitally balanced in base 2, 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 (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42724799221 + ... + 42724800779.

It is an arithmetic number, because the mean of its divisors is an integer number (137137160160).

Almost surely, 2^{66607963200000} is an apocalyptic number.

66607963200000 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 66607963200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131651673753600).

66607963200000 is an abundant number, since it is smaller than the sum of its proper divisors (196695384307200).

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

66607963200000 is an equidigital number, since it uses as much as digits as its factorization.

66607963200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 66607963200000 in words is "sixty-six trillion, six hundred seven billion, nine hundred sixty-three million, two hundred thousand".