6467846760 has 320 divisors, whose sum is σ = 22475653200. Its totient is φ = 1667174400.

The previous prime is 6467846717. The next prime is 6467846761. The reversal of 6467846760 is 676487646.

It is a happy number.

6467846760 is a `hidden beast` number, since 64 + 67 + 8 + 467 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 186650244 + 6281196516 = 13662^2 + 79254^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6467846697 and 6467846706.

It is not an unprimeable number, because it can be changed into a prime (6467846761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24043906 + ... + 24044174.

Almost surely, 2^6467846760 is an apocalyptic number.

6467846760 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 6467846760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237826600).

6467846760 is an abundant number, since it is smaller than the sum of its proper divisors (16007806440).

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

6467846760 is a wasteful number, since it uses less digits than its factorization.

6467846760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The square root of 6467846760 is about 80422.9243437467. The cubic root of 6467846760 is about 1863.1732512531.

The spelling of 6467846760 in words is "six billion, four hundred sixty-seven million, eight hundred forty-six thousand, seven hundred sixty".