6260405760 has 800 divisors, whose sum is σ = 27093623040. Its totient is φ = 1349664768.

The previous prime is 6260405731. The next prime is 6260405761. The reversal of 6260405760 is 675040626.

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 (6260405761) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 27578767 + ... + 27578993.

Almost surely, 2^6260405760 is an apocalyptic number.

6260405760 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 6260405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13546811520).

6260405760 is an abundant number, since it is smaller than the sum of its proper divisors (20833217280).

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

6260405760 is a wasteful number, since it uses less digits than its factorization.

6260405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6260405760 is about 79122.7259388856. The cubic root of 6260405760 is about 1843.0374531138.

The spelling of 6260405760 in words is "six billion, two hundred sixty million, four hundred five thousand, seven hundred sixty".