6782319120 has 160 divisors (see below), whose sum is σ = 22146296832. Its totient is φ = 1713665536.

The previous prime is 6782319119. The next prime is 6782319149. The reversal of 6782319120 is 219132876.

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 31 ways as a sum of consecutive naturals, for example, 584899 + ... + 596381.

Almost surely, 2^6782319120 is an apocalyptic number.

6782319120 is a gapful number since it is divisible by the number (60) 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 6782319120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11073148416).

6782319120 is an abundant number, since it is smaller than the sum of its proper divisors (15363977712).

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

6782319120 is a wasteful number, since it uses less digits than its factorization.

6782319120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11629 (or 11623 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 6782319120 is about 82354.8366521360. The cubic root of 6782319120 is about 1892.8930358272.

The spelling of 6782319120 in words is "six billion, seven hundred eighty-two million, three hundred nineteen thousand, one hundred twenty".