66730442240 has 480 divisors, whose sum is σ = 205099845984. Its totient is φ = 20588789760.

The previous prime is 66730442237. The next prime is 66730442249. The reversal of 66730442240 is 4224403766.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66730442194 and 66730442203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66730442249) by changing a digit.

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, 189037904 + ... + 189038256.

Almost surely, 2^66730442240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66730442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102549922992).

66730442240 is an abundant number, since it is smaller than the sum of its proper divisors (138369403744).

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

66730442240 is a wasteful number, since it uses less digits than its factorization.

66730442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The spelling of 66730442240 in words is "sixty-six billion, seven hundred thirty million, four hundred forty-two thousand, two hundred forty".