1768991680 has 56 divisors (see below), whose sum is σ = 4234385232. Its totient is φ = 703905792.

The previous prime is 1768991671. The next prime is 1768991681. The reversal of 1768991680 is 861998671.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768991681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47439 + ... + 76081.

It is an arithmetic number, because the mean of its divisors is an integer number (75614022).

Almost surely, 2^1768991680 is an apocalyptic number.

1768991680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1768991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117192616).

1768991680 is an abundant number, since it is smaller than the sum of its proper divisors (2465393552).

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

1768991680 is a wasteful number, since it uses less digits than its factorization.

1768991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28853 (or 28843 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 55.

The square root of 1768991680 is about 42059.3827819667. The cubic root of 1768991680 is about 1209.4147569363.

It can be divided in two parts, 1768991 and 680, that added together give a palindrome (1769671).

The spelling of 1768991680 in words is "one billion, seven hundred sixty-eight million, nine hundred ninety-one thousand, six hundred eighty".