1662760672661 has 24 divisors (see below), whose sum is σ = 1935367965720. Its totient is φ = 1422538951680.

The previous prime is 1662760672633. The next prime is 1662760672667.

1662760672661 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 257943110161 + 1404817562500 = 507881^2 + 1185250^2 .

It is not a de Polignac number, because 1662760672661 - 2¹⁸ = 1662760410517 is a prime.

It is a super-2 number, since 2×1662760672661² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1662760672597 and 1662760672606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1662760672667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23614175 + ... + 23684483.

It is an arithmetic number, because the mean of its divisors is an integer number (80640331905).

Almost surely, 2^{1662760672661} is an apocalyptic number.

1662760672661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1662760672661 is a deficient number, since it is larger than the sum of its proper divisors (272607293059).

1662760672661 is a wasteful number, since it uses less digits than its factorization.

1662760672661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81845 (or 81834 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 56.

The spelling of 1662760672661 in words is "one trillion, six hundred sixty-two billion, seven hundred sixty million, six hundred seventy-two thousand, six hundred sixty-one".