6080417280 has 800 divisors, whose sum is σ = 25667642880. Its totient is φ = 1347010560.

The previous prime is 6080417267. The next prime is 6080417281. The reversal of 6080417280 is 827140806.

6080417280 is a `hidden beast` number, since 608 + 0 + 41 + 7 + 2 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6080417281) 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, 85639645 + ... + 85639715.

Almost surely, 2^6080417280 is an apocalyptic number.

6080417280 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 6080417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833821440).

6080417280 is an abundant number, since it is smaller than the sum of its proper divisors (19587225600).

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

6080417280 is an equidigital number, since it uses as much as digits as its factorization.

6080417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 6080417280 is about 77977.0304641053. The cubic root of 6080417280 is about 1825.2028077613.

The spelling of 6080417280 in words is "six billion, eighty million, four hundred seventeen thousand, two hundred eighty".