6785208000 has 560 divisors, whose sum is σ = 25871143584. Its totient is φ = 1754265600.

The previous prime is 6785207983. The next prime is 6785208007. The reversal of 6785208000 is 8025876.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6785208007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23975859 + ... + 23976141.

Almost surely, 2^6785208000 is an apocalyptic number.

6785208000 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 6785208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12935571792).

6785208000 is an abundant number, since it is smaller than the sum of its proper divisors (19085935584).

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

6785208000 is a wasteful number, since it uses less digits than its factorization.

6785208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6785208000 is about 82372.3740097370. The cubic root of 6785208000 is about 1893.1617523984.

The spelling of 6785208000 in words is "six billion, seven hundred eighty-five million, two hundred eight thousand".