1766868768 has 96 divisors (see below), whose sum is σ = 5889582720. Its totient is φ = 504817920.

The previous prime is 1766868751. The next prime is 1766868793. The reversal of 1766868768 is 8678686671.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140023 + ... + 152118.

It is an arithmetic number, because the mean of its divisors is an integer number (61349820).

Almost surely, 2^1766868768 is an apocalyptic number.

1766868768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1766868768 is an abundant number, since it is smaller than the sum of its proper divisors (4122713952).

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

1766868768 is a wasteful number, since it uses less digits than its factorization.

1766868768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292167 (or 292153 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The square root of 1766868768 is about 42034.1381260518. The cubic root of 1766868768 is about 1208.9307695766.

It can be divided in two parts, 17668 and 68768, that added together give a square (86436 = 294²).

The spelling of 1766868768 in words is "one billion, seven hundred sixty-six million, eight hundred sixty-eight thousand, seven hundred sixty-eight".