6459817680 has 60 divisors (see below), whose sum is σ = 21694223460. Its totient is φ = 1722617856.

The previous prime is 6459817673. The next prime is 6459817687. The reversal of 6459817680 is 867189546.

It is an interprime number because it is at equal distance from previous prime (6459817673) and next prime (6459817687).

It can be written as a sum of positive squares in 2 ways, for example, as 2891427984 + 3568389696 = 53772^2 + 59736^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×6459817680³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6459817687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4485265 + ... + 4486704.

It is an arithmetic number, because the mean of its divisors is an integer number (361570391).

Almost surely, 2^6459817680 is an apocalyptic number.

6459817680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6459817680 is an abundant number, since it is smaller than the sum of its proper divisors (15234405780).

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

6459817680 is a wasteful number, since it uses less digits than its factorization.

6459817680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8971988 (or 8971979 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 6459817680 is about 80372.9909857783. The cubic root of 6459817680 is about 1862.4019609972.

The spelling of 6459817680 in words is "six billion, four hundred fifty-nine million, eight hundred seventeen thousand, six hundred eighty".