66748669989120 has 864 divisors, whose sum is σ = 279025288819200. Its totient is φ = 15063684120576.

The previous prime is 66748669989061. The next prime is 66748669989121. The reversal of 66748669989120 is 2198996684766.

66748669989120 is a `hidden beast` number, since 6 + 6 + 7 + 486 + 6 + 9 + 9 + 8 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 66748669989120.

It is not an unprimeable number, because it can be changed into a prime (66748669989121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133532292 + ... + 134031228.

Almost surely, 2^{66748669989120} is an apocalyptic number.

66748669989120 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 66748669989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139512644409600).

66748669989120 is an abundant number, since it is smaller than the sum of its proper divisors (212276618830080).

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

66748669989120 is a wasteful number, since it uses less digits than its factorization.

66748669989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499060 (or 499033 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 66748669989120 in words is "sixty-six trillion, seven hundred forty-eight billion, six hundred sixty-nine million, nine hundred eighty-nine thousand, one hundred twenty".