1068264877761 has 45 divisors (see below), whose sum is σ = 1636258602649. Its totient is φ = 694558368000.

The previous prime is 1068264877739. The next prime is 1068264877783. The reversal of 1068264877761 is 1677784628601.

The square root of 1068264877761 is 1033569.

It is a perfect power (a square), and thus also a powerful number.

1068264877761 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 26 + 487 + 77 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (1068264877739) and next prime (1068264877783).

It can be written as a sum of positive squares in 4 ways, for example, as 295412903361 + 772851974400 = 543519^2 + 879120^2 .

It is not a de Polignac number, because 1068264877761 - 2⁹ = 1068264877249 is a prime.

It is a super-2 number, since 2×1068264877761² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1068264877061) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 381385561 + ... + 381388361.

Almost surely, 2^{1068264877761} is an apocalyptic number.

1068264877761 is the 1033569-th square number.

1068264877761 is the 516785-th centered octagonal number.

It is an amenable number.

1068264877761 is a deficient number, since it is larger than the sum of its proper divisors (567993724888).

1068264877761 is an frugal number, since it uses more digits than its factorization.

1068264877761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

It can be divided in two parts, 1068264 and 877761, that added together give a square (1946025 = 1395²).

The spelling of 1068264877761 in words is "one trillion, sixty-eight billion, two hundred sixty-four million, eight hundred seventy-seven thousand, seven hundred sixty-one".