1466066785680 has 1920 divisors, whose sum is σ = 6465096207360. Its totient is φ = 303495413760.

The previous prime is 1466066785661. The next prime is 1466066785681. The reversal of 1466066785680 is 865876606641.

1466066785680 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 0 + 6 + 67 + 8 + 568 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1466066785681) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 3692863242 + ... + 3692863638.

It is an arithmetic number, because the mean of its divisors is an integer number (3367237608).

Almost surely, 2^{1466066785680} is an apocalyptic number.

1466066785680 is a gapful number since it is divisible by the number (10) 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 1466066785680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232548103680).

1466066785680 is an abundant number, since it is smaller than the sum of its proper divisors (4999029421680).

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

1466066785680 is a wasteful number, since it uses less digits than its factorization.

1466066785680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 1466066785680 in words is "one trillion, four hundred sixty-six billion, sixty-six million, seven hundred eighty-five thousand, six hundred eighty".