6785452080 has 640 divisors, whose sum is σ = 27422530560. Its totient is φ = 1523957760.

The previous prime is 6785452067. The next prime is 6785452129. The reversal of 6785452080 is 802545876.

6785452080 is a `hidden beast` number, since 6 + 7 + 8 + 545 + 20 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 43219362 + ... + 43219518.

It is an arithmetic number, because the mean of its divisors is an integer number (42847704).

Almost surely, 2^6785452080 is an apocalyptic number.

6785452080 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 6785452080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13711265280).

6785452080 is an abundant number, since it is smaller than the sum of its proper divisors (20637078480).

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

6785452080 is a wasteful number, since it uses less digits than its factorization.

6785452080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 6785452080 is about 82373.8555610941. The cubic root of 6785452080 is about 1893.1844526301.

It can be divided in two parts, 678545 and 2080, that added together give a square (680625 = 825²).

The spelling of 6785452080 in words is "six billion, seven hundred eighty-five million, four hundred fifty-two thousand, eighty".