1789663680 has 448 divisors, whose sum is σ = 7303495680. Its totient is φ = 404103168.

The previous prime is 1789663663. The next prime is 1789663691. The reversal of 1789663680 is 863669871.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1789663680² = 6405792175022284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7680844 + ... + 7681076.

Almost surely, 2^1789663680 is an apocalyptic number.

1789663680 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 1789663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651747840).

1789663680 is an abundant number, since it is smaller than the sum of its proper divisors (5513832000).

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

1789663680 is a wasteful number, since it uses less digits than its factorization.

1789663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1789663680 is about 42304.4167906851. The cubic root of 1789663680 is about 1214.1074988017.

The spelling of 1789663680 in words is "one billion, seven hundred eighty-nine million, six hundred sixty-three thousand, six hundred eighty".