6785173980 has 480 divisors, whose sum is σ = 24953026560. Its totient is φ = 1528450560.

The previous prime is 6785173979. The next prime is 6785174023. The reversal of 6785173980 is 893715876.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12404067 + ... + 12404613.

It is an arithmetic number, because the mean of its divisors is an integer number (51985472).

Almost surely, 2^6785173980 is an apocalyptic number.

6785173980 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 6785173980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476513280).

6785173980 is an abundant number, since it is smaller than the sum of its proper divisors (18167852580).

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

6785173980 is a wasteful number, since it uses less digits than its factorization.

6785173980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 6785173980 is about 82372.1675082063. The cubic root of 6785173980 is about 1893.1585883849.

The spelling of 6785173980 in words is "six billion, seven hundred eighty-five million, one hundred seventy-three thousand, nine hundred eighty".