6783708960 has 576 divisors, whose sum is σ = 28061510400. Its totient is φ = 1525837824.

The previous prime is 6783708931. The next prime is 6783709003. The reversal of 6783708960 is 698073876.

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

It is a junction number, because it is equal to n+sod(n) for n = 6783708897 and 6783708906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15452421 + ... + 15452859.

It is an arithmetic number, because the mean of its divisors is an integer number (48717900).

Almost surely, 2^6783708960 is an apocalyptic number.

6783708960 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 6783708960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030755200).

6783708960 is an abundant number, since it is smaller than the sum of its proper divisors (21277801440).

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

6783708960 is a wasteful number, since it uses less digits than its factorization.

6783708960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6783708960 is about 82363.2743399630. The cubic root of 6783708960 is about 1893.0223248765.

The spelling of 6783708960 in words is "six billion, seven hundred eighty-three million, seven hundred eight thousand, nine hundred sixty".