10742066407768 has 16 divisors (see below), whose sum is σ = 20150443154160. Its totient is φ = 5368614900000.

The previous prime is 10742066407759. The next prime is 10742066407873. The reversal of 10742066407768 is 86770466024701.

It is a happy number.

It is a super-3 number, since 3×10742066407768³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 302269108 + ... + 302304643.

It is an arithmetic number, because the mean of its divisors is an integer number (1259402697135).

Almost surely, 2^{10742066407768} is an apocalyptic number.

It is an amenable number.

10742066407768 is a deficient number, since it is larger than the sum of its proper divisors (9408376746392).

10742066407768 is a wasteful number, since it uses less digits than its factorization.

10742066407768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604575978 (or 604575974 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 58.

The spelling of 10742066407768 in words is "ten trillion, seven hundred forty-two billion, sixty-six million, four hundred seven thousand, seven hundred sixty-eight".