6518681460 has 144 divisors (see below), whose sum is σ = 20447154000. Its totient is φ = 1679726592.

The previous prime is 6518681447. The next prime is 6518681483. The reversal of 6518681460 is 641868156.

6518681460 is a `hidden beast` number, since 6 + 5 + 186 + 8 + 1 + 460 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 186978276 + 6331703184 = 13674^2 + 79572^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 989056 + ... + 995624.

It is an arithmetic number, because the mean of its divisors is an integer number (141994125).

Almost surely, 2^6518681460 is an apocalyptic number.

6518681460 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 6518681460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223577000).

6518681460 is an abundant number, since it is smaller than the sum of its proper divisors (13928472540).

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

6518681460 is a wasteful number, since it uses less digits than its factorization.

6518681460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6770 (or 6765 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6518681460 is about 80738.3518533788. The cubic root of 6518681460 is about 1868.0417851404.

The spelling of 6518681460 in words is "six billion, five hundred eighteen million, six hundred eighty-one thousand, four hundred sixty".