66124800000 has 1008 divisors, whose sum is σ = 279517047264. Its totient is φ = 14745600000.

The previous prime is 66124799999. The next prime is 66124800011. The reversal of 66124800000 is 842166.

66124800000 is a `hidden beast` number, since 6 + 612 + 48 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1612799980 + ... + 1612800020.

It is an arithmetic number, because the mean of its divisors is an integer number (277298658).

Almost surely, 2^66124800000 is an apocalyptic number.

66124800000 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 66124800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139758523632).

66124800000 is an abundant number, since it is smaller than the sum of its proper divisors (213392247264).

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

66124800000 is an frugal number, since it uses more digits than its factorization.

66124800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 66124800000 in words is "sixty-six billion, one hundred twenty-four million, eight hundred thousand".