1066608586764 has 384 divisors, whose sum is σ = 3274676428800. Its totient is φ = 297654829056.

The previous prime is 1066608586751. The next prime is 1066608586777. The reversal of 1066608586764 is 4676858066601.

It is an interprime number because it is at equal distance from previous prime (1066608586751) and next prime (1066608586777).

It is a super-2 number, since 2×1066608586764² (a number of 25 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 469250332 + ... + 469252604.

It is an arithmetic number, because the mean of its divisors is an integer number (8527803200).

Almost surely, 2^{1066608586764} is an apocalyptic number.

1066608586764 is a gapful number since it is divisible by the number (14) 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 1066608586764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637338214400).

1066608586764 is an abundant number, since it is smaller than the sum of its proper divisors (2208067842036).

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

1066608586764 is an equidigital number, since it uses as much as digits as its factorization.

1066608586764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2461 counting only the distinct ones).

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

The spelling of 1066608586764 in words is "one trillion, sixty-six billion, six hundred eight million, five hundred eighty-six thousand, seven hundred sixty-four".