6456256560 has 120 divisors (see below), whose sum is σ = 23350161744. Its totient is φ = 1589230080.

The previous prime is 6456256553. The next prime is 6456256579. The reversal of 6456256560 is 656526546.

It is a happy number.

6456256560 is a `hidden beast` number, since 64 + 5 + 6 + 25 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 335526 + ... + 354245.

Almost surely, 2^6456256560 is an apocalyptic number.

6456256560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6456256560 is an abundant number, since it is smaller than the sum of its proper divisors (16893905184).

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

6456256560 is a wasteful number, since it uses less digits than its factorization.

6456256560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689803 (or 689794 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 6456256560 is about 80350.8342209339. The cubic root of 6456256560 is about 1862.0596677470.

The spelling of 6456256560 in words is "six billion, four hundred fifty-six million, two hundred fifty-six thousand, five hundred sixty".