1067749879361 has 16 divisors (see below), whose sum is σ = 1236000653568. Its totient is φ = 911609529600.

The previous prime is 1067749879337. The next prime is 1067749879403. The reversal of 1067749879361 is 1639789477601.

1067749879361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1067749879361 - 2⁶ = 1067749879297 is a prime.

It is a super-2 number, since 2×1067749879361² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1067749879291 and 1067749879300.

It is not an unprimeable number, because it can be changed into a prime (1067749879661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6079610 + ... + 6252771.

It is an arithmetic number, because the mean of its divisors is an integer number (77250040848).

Almost surely, 2^{1067749879361} is an apocalyptic number.

1067749879361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1067749879361 is a deficient number, since it is larger than the sum of its proper divisors (168250774207).

1067749879361 is a wasteful number, since it uses less digits than its factorization.

1067749879361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12332872.

The product of its (nonzero) digits is 96018048, while the sum is 68.

The spelling of 1067749879361 in words is "one trillion, sixty-seven billion, seven hundred forty-nine million, eight hundred seventy-nine thousand, three hundred sixty-one".