6348811680 has 144 divisors (see below), whose sum is σ = 22020793704. Its totient is φ = 1665239040.

The previous prime is 6348811673. The next prime is 6348811717. The reversal of 6348811680 is 861188436.

It is a happy number.

6348811680 is a `hidden beast` number, since 6 + 3 + 488 + 1 + 168 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4789193616 + 1559618064 = 69204^2 + 39492^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51702 + ... + 123978.

Almost surely, 2^6348811680 is an apocalyptic number.

6348811680 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 6348811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11010396852).

6348811680 is an abundant number, since it is smaller than the sum of its proper divisors (15671982024).

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

6348811680 is a wasteful number, since it uses less digits than its factorization.

6348811680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72359 (or 72348 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 6348811680 is about 79679.4307208579. The cubic root of 6348811680 is about 1851.6723791375.

The spelling of 6348811680 in words is "six billion, three hundred forty-eight million, eight hundred eleven thousand, six hundred eighty".