6305780880 has 640 divisors, whose sum is σ = 26162611200. Its totient is φ = 1365590016.

The previous prime is 6305780861. The next prime is 6305780903. The reversal of 6305780880 is 880875036.

6305780880 is a `hidden beast` number, since 630 + 5 + 7 + 8 + 0 + 8 + 8 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32008942 + ... + 32009138.

It is an arithmetic number, because the mean of its divisors is an integer number (40879080).

Almost surely, 2^6305780880 is an apocalyptic number.

6305780880 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 6305780880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13081305600).

6305780880 is an abundant number, since it is smaller than the sum of its proper divisors (19856830320).

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

6305780880 is a wasteful number, since it uses less digits than its factorization.

6305780880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6305780880 is about 79408.9471029556. The cubic root of 6305780880 is about 1847.4794874072.

The spelling of 6305780880 in words is "six billion, three hundred five million, seven hundred eighty thousand, eight hundred eighty".