1066728120640 has 896 divisors, whose sum is σ = 3310424119296. Its totient is φ = 318504960000.

The previous prime is 1066728120593. The next prime is 1066728120649. The reversal of 1066728120640 is 460218276601.

1066728120640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1066728120640² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066728120649) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7064424565 + ... + 7064424715.

It is an arithmetic number, because the mean of its divisors is an integer number (3694669776).

Almost surely, 2^{1066728120640} is an apocalyptic number.

1066728120640 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 1066728120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655212059648).

1066728120640 is an abundant number, since it is smaller than the sum of its proper divisors (2243695998656).

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

1066728120640 is a wasteful number, since it uses less digits than its factorization.

1066728120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 1066728120640 in words is "one trillion, sixty-six billion, seven hundred twenty-eight million, one hundred twenty thousand, six hundred forty".