6410566752 has 96 divisors (see below), whose sum is σ = 17072415360. Its totient is φ = 2105917440.

The previous prime is 6410566733. The next prime is 6410566753. The reversal of 6410566752 is 2576650146.

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

It is a super-3 number, since 3×6410566752³ (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 (6410566753) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4549024 + ... + 4550432.

It is an arithmetic number, because the mean of its divisors is an integer number (177837660).

Almost surely, 2^6410566752 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 6410566752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8536207680).

6410566752 is an abundant number, since it is smaller than the sum of its proper divisors (10661848608).

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

6410566752 is a wasteful number, since it uses less digits than its factorization.

6410566752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 6410566752 is about 80066.0149626544. The cubic root of 6410566752 is about 1857.6567740699.

The spelling of 6410566752 in words is "six billion, four hundred ten million, five hundred sixty-six thousand, seven hundred fifty-two".