10442767616 has 108 divisors (see below), whose sum is σ = 22289084160. Its totient is φ = 4881899520.

The previous prime is 10442767567. The next prime is 10442767627. The reversal of 10442767616 is 61676724401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14130575 + ... + 14131313.

Almost surely, 2^10442767616 is an apocalyptic number.

10442767616 is a gapful number since it is divisible by the number (16) 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 10442767616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144542080).

10442767616 is an abundant number, since it is smaller than the sum of its proper divisors (11846316544).

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

10442767616 is an equidigital number, since it uses as much as digits as its factorization.

10442767616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 10442767616 in words is "ten billion, four hundred forty-two million, seven hundred sixty-seven thousand, six hundred sixteen".