6298349760 has 168 divisors, whose sum is σ = 21704838480. Its totient is φ = 1676371968.

The previous prime is 6298349741. The next prime is 6298349851. The reversal of 6298349760 is 679438926.

It is a happy number.

6298349760 is a `hidden beast` number, since 6 + 2 + 98 + 3 + 497 + 60 = 666.

It is a super-6 number, since 6×6298349760⁶ (a number of 60 digits) contains 666666 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6298349697 and 6298349706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1780954 + ... + 1784486.

Almost surely, 2^6298349760 is an apocalyptic number.

6298349760 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 6298349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10852419240).

6298349760 is an abundant number, since it is smaller than the sum of its proper divisors (15406488720).

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

6298349760 is a wasteful number, since it uses less digits than its factorization.

6298349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 6298349760 is about 79362.1431162239. The cubic root of 6298349760 is about 1846.7534743231.

The spelling of 6298349760 in words is "six billion, two hundred ninety-eight million, three hundred forty-nine thousand, seven hundred sixty".