1766221680 has 40 divisors (see below), whose sum is σ = 5475287952. Its totient is φ = 470992384.

The previous prime is 1766221679. The next prime is 1766221693. The reversal of 1766221680 is 861226671.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3679389 + ... + 3679868.

Almost surely, 2^1766221680 is an apocalyptic number.

1766221680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1766221680 is an abundant number, since it is smaller than the sum of its proper divisors (3709066272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1766221680 is a wasteful number, since it uses less digits than its factorization.

1766221680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7359273 (or 7359267 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1766221680 is about 42026.4402489671. The cubic root of 1766221680 is about 1208.7831675726.

It can be divided in two parts, 1766 and 221680, that added together give a triangular number (223446 = T₆₆₈).

The spelling of 1766221680 in words is "one billion, seven hundred sixty-six million, two hundred twenty-one thousand, six hundred eighty".