1066379489280 has 936 divisors, whose sum is σ = 4460085603792. Its totient is φ = 243688144896.

The previous prime is 1066379489251. The next prime is 1066379489291. The reversal of 1066379489280 is 829849736601.

1066379489280 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 3 + 79 + 489 + 2 + 80 = 666.

It is a super-2 number, since 2×1066379489280² (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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243853174 + ... + 243857546.

It is an arithmetic number, because the mean of its divisors is an integer number (4765048722).

Almost surely, 2^{1066379489280} is an apocalyptic number.

1066379489280 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 1066379489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230042801896).

1066379489280 is an abundant number, since it is smaller than the sum of its proper divisors (3393706114512).

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

1066379489280 is an frugal number, since it uses more digits than its factorization.

1066379489280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1066379489280 in words is "one trillion, sixty-six billion, three hundred seventy-nine million, four hundred eighty-nine thousand, two hundred eighty".