1067956764641 has 16 divisors (see below), whose sum is σ = 1171113560064. Its totient is φ = 967960917504.

The previous prime is 1067956764557. The next prime is 1067956764643. The reversal of 1067956764641 is 1464676597601.

It is a cyclic number.

It is not a de Polignac number, because 1067956764641 - 2²² = 1067952570337 is a prime.

It is a super-2 number, since 2×1067956764641² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1067956764643) 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, 3174155 + ... + 3494448.

It is an arithmetic number, because the mean of its divisors is an integer number (73194597504).

Almost surely, 2^{1067956764641} is an apocalyptic number.

It is an amenable number.

1067956764641 is a deficient number, since it is larger than the sum of its proper divisors (103156795423).

1067956764641 is a wasteful number, since it uses less digits than its factorization.

1067956764641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6668840.

The product of its (nonzero) digits is 45722880, while the sum is 62.

The spelling of 1067956764641 in words is "one trillion, sixty-seven billion, nine hundred fifty-six million, seven hundred sixty-four thousand, six hundred forty-one".