66312795669120 has 1536 divisors, whose sum is σ = 323632360396800. Its totient is φ = 12049878712320.

The previous prime is 66312795669091. The next prime is 66312795669179. The reversal of 66312795669120 is 2196659721366.

66312795669120 is a `hidden beast` number, since 6 + 6 + 31 + 27 + 9 + 566 + 9 + 12 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 109246779 + ... + 109852101.

It is an arithmetic number, because the mean of its divisors is an integer number (210698151300).

Almost surely, 2^{66312795669120} is an apocalyptic number.

66312795669120 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 66312795669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161816180198400).

66312795669120 is an abundant number, since it is smaller than the sum of its proper divisors (257319564727680).

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

66312795669120 is a wasteful number, since it uses less digits than its factorization.

66312795669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605398 (or 605383 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 66312795669120 in words is "sixty-six trillion, three hundred twelve billion, seven hundred ninety-five million, six hundred sixty-nine thousand, one hundred twenty".