6786983760 has 160 divisors (see below), whose sum is σ = 21848030208. Its totient is φ = 1741025280.

The previous prime is 6786983743. The next prime is 6786983761. The reversal of 6786983760 is 673896876.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6786983694 and 6786983703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6786983761) by changing a digit.

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, 1284484 + ... + 1289756.

Almost surely, 2^6786983760 is an apocalyptic number.

6786983760 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 6786983760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10924015104).

6786983760 is an abundant number, since it is smaller than the sum of its proper divisors (15061046448).

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

6786983760 is a wasteful number, since it uses less digits than its factorization.

6786983760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The square root of 6786983760 is about 82383.1521611063. The cubic root of 6786983760 is about 1893.3268914128.

The spelling of 6786983760 in words is "six billion, seven hundred eighty-six million, nine hundred eighty-three thousand, seven hundred sixty".