16642475136 has 576 divisors, whose sum is σ = 60226920000. Its totient is φ = 4474497024.

The previous prime is 16642475131. The next prime is 16642475191. The reversal of 16642475136 is 63157424661.

16642475136 is a `hidden beast` number, since 1 + 6 + 6 + 42 + 475 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (725760) is a multiple of the sum of its prime divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 16642475091 and 16642475100.

It is not an unprimeable number, because it can be changed into a prime (16642475131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111694390 + ... + 111694538.

It is an arithmetic number, because the mean of its divisors is an integer number (104560625).

Almost surely, 2^16642475136 is an apocalyptic number.

16642475136 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 16642475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30113460000).

16642475136 is an abundant number, since it is smaller than the sum of its proper divisors (43584444864).

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

16642475136 is an frugal number, since it uses more digits than its factorization.

16642475136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 180 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

Adding to 16642475136 its reverse (63157424661), we get a palindrome (79799899797).

The spelling of 16642475136 in words is "sixteen billion, six hundred forty-two million, four hundred seventy-five thousand, one hundred thirty-six".