66789354240 has 432 divisors, whose sum is σ = 270551002176. Its totient is φ = 14893056000.

The previous prime is 66789354239. The next prime is 66789354259. The reversal of 66789354240 is 4245398766.

66789354240 is a `hidden beast` number, since 6 + 6 + 7 + 8 + 93 + 542 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3296140 + ... + 3316340.

It is an arithmetic number, because the mean of its divisors is an integer number (626275468).

Almost surely, 2^66789354240 is an apocalyptic number.

66789354240 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 66789354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135275501088).

66789354240 is an abundant number, since it is smaller than the sum of its proper divisors (203761647936).

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

66789354240 is a wasteful number, since it uses less digits than its factorization.

66789354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20276 (or 20259 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 66789354240 in words is "sixty-six billion, seven hundred eighty-nine million, three hundred fifty-four thousand, two hundred forty".