66281841600 has 336 divisors, whose sum is σ = 244374692352. Its totient is φ = 15605821440.

The previous prime is 66281841553. The next prime is 66281841617. The reversal of 66281841600 is 614818266.

It is a super-6 number, since 6×66281841600⁶ (a number of 66 digits) contains 666666 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1412109 + ... + 1458291.

It is an arithmetic number, because the mean of its divisors is an integer number (727305632).

Almost surely, 2^66281841600 is an apocalyptic number.

66281841600 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 66281841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122187346176).

66281841600 is an abundant number, since it is smaller than the sum of its proper divisors (178092850752).

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

66281841600 is a wasteful number, since it uses less digits than its factorization.

66281841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46244 (or 46229 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 66281841600 in words is "sixty-six billion, two hundred eighty-one million, eight hundred forty-one thousand, six hundred".