16442735660 has 96 divisors (see below), whose sum is σ = 39228537600. Its totient is φ = 5739068160.

The previous prime is 16442735651. The next prime is 16442735669. The reversal of 16442735660 is 6653724461.

It is an interprime number because it is at equal distance from previous prime (16442735651) and next prime (16442735669).

It is a super-3 number, since 3×16442735660³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16442735669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2422151 + ... + 2428929.

It is an arithmetic number, because the mean of its divisors is an integer number (408630600).

Almost surely, 2^16442735660 is an apocalyptic number.

16442735660 is a gapful number since it is divisible by the number (10) 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 16442735660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19614268800).

16442735660 is an abundant number, since it is smaller than the sum of its proper divisors (22785801940).

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

16442735660 is a wasteful number, since it uses less digits than its factorization.

16442735660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7311 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 16442735660 in words is "sixteen billion, four hundred forty-two million, seven hundred thirty-five thousand, six hundred sixty".