6442258560 has 128 divisors (see below), whose sum is σ = 21615595200. Its totient is φ = 1627508736.

The previous prime is 6442258553. The next prime is 6442258561. The reversal of 6442258560 is 658522446.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6442258561) 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, 51819 + ... + 124778.

Almost surely, 2^6442258560 is an apocalyptic number.

6442258560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6442258560 is an abundant number, since it is smaller than the sum of its proper divisors (15173336640).

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

6442258560 is a wasteful number, since it uses less digits than its factorization.

6442258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176638 (or 176626 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 6442258560 is about 80263.6814505789. The cubic root of 6442258560 is about 1860.7129651998.

The spelling of 6442258560 in words is "six billion, four hundred forty-two million, two hundred fifty-eight thousand, five hundred sixty".