66146728942560 has 768 divisors, whose sum is σ = 258324941242368. Its totient is φ = 13904980992000.

The previous prime is 66146728942543. The next prime is 66146728942583. The reversal of 66146728942560 is 6524982764166.

It is a happy number.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66146728942491 and 66146728942500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165518985 + ... + 165918135.

It is an arithmetic number, because the mean of its divisors is an integer number (336360600576).

Almost surely, 2^{66146728942560} is an apocalyptic number.

66146728942560 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 66146728942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129162470621184).

66146728942560 is an abundant number, since it is smaller than the sum of its proper divisors (192178212299808).

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

66146728942560 is a wasteful number, since it uses less digits than its factorization.

66146728942560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399287 (or 399279 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 66.

The spelling of 66146728942560 in words is "sixty-six trillion, one hundred forty-six billion, seven hundred twenty-eight million, nine hundred forty-two thousand, five hundred sixty".