66706481318400 has 2880 divisors, whose sum is σ = 314619771438720. Its totient is φ = 13857951744000.

The previous prime is 66706481318359. The next prime is 66706481318401. The reversal of 66706481318400 is 481318460766.

66706481318400 is a `hidden beast` number, since 6 + 6 + 70 + 64 + 81 + 31 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (66706481318401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15088548190 + ... + 15088552610.

It is an arithmetic number, because the mean of its divisors is an integer number (109242976194).

Almost surely, 2^{66706481318400} is an apocalyptic number.

66706481318400 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 66706481318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157309885719360).

66706481318400 is an abundant number, since it is smaller than the sum of its proper divisors (247913290120320).

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

66706481318400 is an equidigital number, since it uses as much as digits as its factorization.

66706481318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4495 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 66706481318400 in words is "sixty-six trillion, seven hundred six billion, four hundred eighty-one million, three hundred eighteen thousand, four hundred".