66007349089920 has 896 divisors, whose sum is σ = 282144915843840. Its totient is φ = 14431403999232.

The previous prime is 66007349089909. The next prime is 66007349089933. The reversal of 66007349089920 is 2998094370066.

66007349089920 is a `hidden beast` number, since 6 + 60 + 0 + 7 + 3 + 490 + 89 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 74676792 + ... + 75555528.

It is an arithmetic number, because the mean of its divisors is an integer number (314893879290).

Almost surely, 2^{66007349089920} is an apocalyptic number.

66007349089920 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 66007349089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141072457921920).

66007349089920 is an abundant number, since it is smaller than the sum of its proper divisors (216137566753920).

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

66007349089920 is an equidigital number, since it uses as much as digits as its factorization.

66007349089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878804 (or 878777 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 66007349089920 in words is "sixty-six trillion, seven billion, three hundred forty-nine million, eighty-nine thousand, nine hundred twenty".