1066768007760 has 960 divisors, whose sum is σ = 4777467222528. Its totient is φ = 206900822016.

The previous prime is 1066768007741. The next prime is 1066768007807. The reversal of 1066768007760 is 677008676601.

It is a happy number.

It is a super-2 number, since 2×1066768007760² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066768007697 and 1066768007706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47883984 + ... + 47906256.

Almost surely, 2^{1066768007760} is an apocalyptic number.

1066768007760 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 1066768007760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388733611264).

1066768007760 is an abundant number, since it is smaller than the sum of its proper divisors (3710699214768).

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

1066768007760 is a wasteful number, since it uses less digits than its factorization.

1066768007760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22372 (or 22363 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 1066768007760 in words is "one trillion, sixty-six billion, seven hundred sixty-eight million, seven thousand, seven hundred sixty".