66146214919680 has 1920 divisors, whose sum is σ = 276408458726400. Its totient is φ = 14848701235200.

The previous prime is 66146214919679. The next prime is 66146214919693. The reversal of 66146214919680 is 8691941264166.

It is a happy number.

66146214919680 is a `hidden beast` number, since 6 + 6 + 1 + 4 + 62 + 1 + 491 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62936455155 + ... + 62936456205.

It is an arithmetic number, because the mean of its divisors is an integer number (143962738920).

Almost surely, 2^{66146214919680} is an apocalyptic number.

66146214919680 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 66146214919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138204229363200).

66146214919680 is an abundant number, since it is smaller than the sum of its proper divisors (210262243806720).

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

66146214919680 is a wasteful number, since it uses less digits than its factorization.

66146214919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 66146214919680 in words is "sixty-six trillion, one hundred forty-six billion, two hundred fourteen million, nine hundred nineteen thousand, six hundred eighty".