66024830414304 has 72 divisors (see below), whose sum is σ = 187760733811560. Its totient is φ = 22007969426688.

The previous prime is 66024830414251. The next prime is 66024830414357. The reversal of 66024830414304 is 40341403842066.

66024830414304 is a `hidden beast` number, since 6 + 6 + 0 + 24 + 8 + 304 + 14 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (66024830414251) and next prime (66024830414357).

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 66024830414304.

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 11 ways as a sum of consecutive naturals, for example, 19539487 + ... + 22668065.

It is an arithmetic number, because the mean of its divisors is an integer number (2607787969605).

Almost surely, 2^{66024830414304} is an apocalyptic number.

It is an amenable number.

66024830414304 is an abundant number, since it is smaller than the sum of its proper divisors (121735903397256).

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

66024830414304 is a wasteful number, since it uses less digits than its factorization.

66024830414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201872 (or 3201861 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 66024830414304 in words is "sixty-six trillion, twenty-four billion, eight hundred thirty million, four hundred fourteen thousand, three hundred four".