66783360 has 128 divisors (see below), whose sum is σ = 243331200. Its totient is φ = 15261696.

The previous prime is 66783359. The next prime is 66783373. The reversal of 66783360 is 6338766.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10956 + ... + 15924.

It is an arithmetic number, because the mean of its divisors is an integer number (1901025).

Almost surely, 2^66783360 is an apocalyptic number.

66783360 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 66783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121665600).

66783360 is an abundant number, since it is smaller than the sum of its proper divisors (176547840).

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

66783360 is a wasteful number, since it uses less digits than its factorization.

66783360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 66783360 is about 8172.1086630074. The cubic root of 66783360 is about 405.7165792750.

The spelling of 66783360 in words is "sixty-six million, seven hundred eighty-three thousand, three hundred sixty".