6116705280 has 880 divisors, whose sum is σ = 26155747200. Its totient is φ = 1365590016.

The previous prime is 6116705279. The next prime is 6116705291. The reversal of 6116705280 is 825076116.

6116705280 is a `hidden beast` number, since 61 + 1 + 6 + 70 + 528 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 142248939 + ... + 142248981.

It is an arithmetic number, because the mean of its divisors is an integer number (29722440).

Almost surely, 2^6116705280 is an apocalyptic number.

6116705280 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 6116705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077873600).

6116705280 is an abundant number, since it is smaller than the sum of its proper divisors (20039041920).

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

6116705280 is an equidigital number, since it uses as much as digits as its factorization.

6116705280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 6116705280 is about 78209.3682368040. The cubic root of 6116705280 is about 1828.8265522009.

The spelling of 6116705280 in words is "six billion, one hundred sixteen million, seven hundred five thousand, two hundred eighty".