6442378017856 has 63 divisors (see below), whose sum is σ = 14052425104263. Its totient is φ = 2928252117120.

The previous prime is 6442378017833. The next prime is 6442378017913. The reversal of 6442378017856 is 6587108732446.

The square root of 6442378017856 is 2538184.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6442378017794 and 6442378017803.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 223345771 + ... + 223374613.

Almost surely, 2^{6442378017856} is an apocalyptic number.

6442378017856 is the 2538184-th square number.

It is an amenable number.

6442378017856 is an abundant number, since it is smaller than the sum of its proper divisors (7610047086407).

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

6442378017856 is an frugal number, since it uses more digits than its factorization.

6442378017856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57720 (or 28856 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 61.

The spelling of 6442378017856 in words is "six trillion, four hundred forty-two billion, three hundred seventy-eight million, seventeen thousand, eight hundred fifty-six".