6349349760 has 256 divisors, whose sum is σ = 21977948160. Its totient is φ = 1549836288.

The previous prime is 6349349729. The next prime is 6349349849. The reversal of 6349349760 is 679439436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3168919 + ... + 3170921.

It is an arithmetic number, because the mean of its divisors is an integer number (85851360).

Almost surely, 2^6349349760 is an apocalyptic number.

6349349760 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 6349349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10988974080).

6349349760 is an abundant number, since it is smaller than the sum of its proper divisors (15628598400).

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

6349349760 is a wasteful number, since it uses less digits than its factorization.

6349349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 51.

The square root of 6349349760 is about 79682.8071794663. The cubic root of 6349349760 is about 1851.7246891748.

The spelling of 6349349760 in words is "six billion, three hundred forty-nine million, three hundred forty-nine thousand, seven hundred sixty".