6456290560 has 72 divisors (see below), whose sum is σ = 15480712296. Its totient is φ = 2579865600.

The previous prime is 6456290531. The next prime is 6456290567. The reversal of 6456290560 is 650926546.

It can be written as a sum of positive squares in 4 ways, for example, as 206439424 + 6249851136 = 14368^2 + 79056^2 .

It is a super-2 number, since 2×6456290560² = 83367375590290227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6456290567) 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 7 ways as a sum of consecutive naturals, for example, 1663342 + ... + 1667218.

It is an arithmetic number, because the mean of its divisors is an integer number (215009893).

Almost surely, 2^6456290560 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 6456290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740356148).

6456290560 is an abundant number, since it is smaller than the sum of its proper divisors (9024421736).

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

6456290560 is a wasteful number, since it uses less digits than its factorization.

6456290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The square root of 6456290560 is about 80351.0457928209. The cubic root of 6456290560 is about 1862.0629364067.

The spelling of 6456290560 in words is "six billion, four hundred fifty-six million, two hundred ninety thousand, five hundred sixty".