66181343400 has 576 divisors, whose sum is σ = 250698240000. Its totient is φ = 15547023360.

The previous prime is 66181343359. The next prime is 66181343401. The reversal of 66181343400 is 434318166.

It is a happy number.

66181343400 is a `hidden beast` number, since 6 + 618 + 1 + 3 + 4 + 34 + 0 + 0 = 666.

66181343400 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 not an unprimeable number, because it can be changed into a prime (66181343401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51743961 + ... + 51745239.

It is an arithmetic number, because the mean of its divisors is an integer number (435240000).

Almost surely, 2^66181343400 is an apocalyptic number.

66181343400 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 66181343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120000).

66181343400 is an abundant number, since it is smaller than the sum of its proper divisors (184516896600).

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

66181343400 is a wasteful number, since it uses less digits than its factorization.

66181343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 66181343400 in words is "sixty-six billion, one hundred eighty-one million, three hundred forty-three thousand, four hundred".