6460556064 has 96 divisors (see below), whose sum is σ = 17238360384. Its totient is φ = 2118205440.

The previous prime is 6460556041. The next prime is 6460556071. The reversal of 6460556064 is 4606550646.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3103504 + ... + 3105584.

It is an arithmetic number, because the mean of its divisors is an integer number (179566254).

Almost surely, 2^6460556064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6460556064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8619180192).

6460556064 is an abundant number, since it is smaller than the sum of its proper divisors (10777804320).

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

6460556064 is a wasteful number, since it uses less digits than its factorization.

6460556064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 6460556064 is about 80377.5843379235. The cubic root of 6460556064 is about 1862.4729183877.

The spelling of 6460556064 in words is "six billion, four hundred sixty million, five hundred fifty-six thousand, sixty-four".