66493828800 has 1344 divisors, whose sum is σ = 297523814400. Its totient is φ = 14108774400.

The previous prime is 66493828777. The next prime is 66493828801. The reversal of 66493828800 is 882839466.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (66493828801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 407937519 + ... + 407937681.

Almost surely, 2^66493828800 is an apocalyptic number.

66493828800 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 66493828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148761907200).

66493828800 is an abundant number, since it is smaller than the sum of its proper divisors (231029985600).

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

66493828800 is a wasteful number, since it uses less digits than its factorization.

66493828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 66493828800 in words is "sixty-six billion, four hundred ninety-three million, eight hundred twenty-eight thousand, eight hundred".