16442645640 has 128 divisors (see below), whose sum is σ = 50038560000. Its totient is φ = 4321963008.

The previous prime is 16442645579. The next prime is 16442645647. The reversal of 16442645640 is 4654624461.

It is a super-3 number, since 3×16442645640³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 16442645592 and 16442645601.

It is not an unprimeable number, because it can be changed into a prime (16442645647) 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, 2599762 + ... + 2606078.

It is an arithmetic number, because the mean of its divisors is an integer number (390926250).

Almost surely, 2^16442645640 is an apocalyptic number.

16442645640 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 16442645640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25019280000).

16442645640 is an abundant number, since it is smaller than the sum of its proper divisors (33595914360).

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

16442645640 is a wasteful number, since it uses less digits than its factorization.

16442645640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639 (or 6635 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 16442645640 in words is "sixteen billion, four hundred forty-two million, six hundred forty-five thousand, six hundred forty".