66930630624 has 288 divisors, whose sum is σ = 224260100064. Its totient is φ = 18667376640.

The previous prime is 66930630607. The next prime is 66930630643. The reversal of 66930630624 is 42603603966.

It is a happy number.

66930630624 is a `hidden beast` number, since 6 + 6 + 9 + 3 + 0 + 630 + 6 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 66930630624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15359454 + ... + 15363810.

It is an arithmetic number, because the mean of its divisors is an integer number (778680903).

Almost surely, 2^66930630624 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 66930630624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112130050032).

66930630624 is an abundant number, since it is smaller than the sum of its proper divisors (157329469440).

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

66930630624 is a wasteful number, since it uses less digits than its factorization.

66930630624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 66930630624 in words is "sixty-six billion, nine hundred thirty million, six hundred thirty thousand, six hundred twenty-four".