66750506710800 has 120 divisors (see below), whose sum is σ = 233262679860960. Its totient is φ = 16181941017600.

The previous prime is 66750506710799. The next prime is 66750506710807. The reversal of 66750506710800 is 801760505766.

66750506710800 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 (120).

It is a super-2 number, since 2×66750506710800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66750506710807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2528415085 + ... + 2528441484.

It is an arithmetic number, because the mean of its divisors is an integer number (1943855665508).

Almost surely, 2^{66750506710800} is an apocalyptic number.

66750506710800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66750506710800 is an abundant number, since it is smaller than the sum of its proper divisors (166512173150160).

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

66750506710800 is a wasteful number, since it uses less digits than its factorization.

66750506710800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056856601 (or 5056856590 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 66750506710800 in words is "sixty-six trillion, seven hundred fifty billion, five hundred six million, seven hundred ten thousand, eight hundred".