2842656768 has 448 divisors, whose sum is σ = 10314684720. Its totient is φ = 764411904.

The previous prime is 2842656737. The next prime is 2842656787. The reversal of 2842656768 is 8676562482.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7741440) is a multiple of the sum of its prime factors (72).

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 167215096 + ... + 167215112.

Almost surely, 2^2842656768 is an apocalyptic number.

2842656768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2842656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157342360).

2842656768 is an abundant number, since it is smaller than the sum of its proper divisors (7472027952).

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

2842656768 is an frugal number, since it uses more digits than its factorization.

2842656768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 2842656768 is about 53316.5712325915. The cubic root of 2842656768 is about 1416.5812035241.

The spelling of 2842656768 in words is "two billion, eight hundred forty-two million, six hundred fifty-six thousand, seven hundred sixty-eight".