66733250400000 has 648 divisors, whose sum is σ = 241533362594160. Its totient is φ = 17718712320000.

The previous prime is 66733250399987. The next prime is 66733250400023. The reversal of 66733250400000 is 405233766.

66733250400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1677580111 + ... + 1677619889.

It is an arithmetic number, because the mean of its divisors is an integer number (372736670670).

Almost surely, 2^{66733250400000} is an apocalyptic number.

66733250400000 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 66733250400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120766681297080).

66733250400000 is an abundant number, since it is smaller than the sum of its proper divisors (174800112194160).

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

66733250400000 is an equidigital number, since it uses as much as digits as its factorization.

66733250400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40059 (or 40022 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 66733250400000 its reverse (405233766), we get a palindrome (66733655633766).

The spelling of 66733250400000 in words is "sixty-six trillion, seven hundred thirty-three billion, two hundred fifty million, four hundred thousand".