66744000 has 280 divisors, whose sum is σ = 249314208. Its totient is φ = 17625600.

The previous prime is 66743987. The next prime is 66744001. The reversal of 66744000 is 44766.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (66744001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647949 + ... + 648051.

Almost surely, 2^66744000 is an apocalyptic number.

66744000 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 66744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124657104).

66744000 is an abundant number, since it is smaller than the sum of its proper divisors (182570208).

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

66744000 is a wasteful number, since it uses less digits than its factorization.

66744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 66744000 is about 8169.7001168954. The cubic root of 66744000 is about 405.6368581049.

Adding to 66744000 its reverse (44766), we get a palindrome (66788766).

The spelling of 66744000 in words is "sixty-six million, seven hundred forty-four thousand".