21742060032 has 480 divisors, whose sum is σ = 80968567680. Its totient is φ = 5449973760.

The previous prime is 21742059979. The next prime is 21742060033. The reversal of 21742060032 is 23006024712.

21742060032 is a `hidden beast` number, since 2 + 1 + 7 + 4 + 20 + 600 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21742059978 and 21742060005.

It is not an unprimeable number, because it can be changed into a prime (21742060033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10288608 + ... + 10290720.

It is an arithmetic number, because the mean of its divisors is an integer number (168684516).

Almost surely, 2^21742060032 is an apocalyptic number.

21742060032 is a gapful number since it is divisible by the number (22) 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 21742060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40484283840).

21742060032 is an abundant number, since it is smaller than the sum of its proper divisors (59226507648).

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

21742060032 is a wasteful number, since it uses less digits than its factorization.

21742060032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 21742060032 its reverse (23006024712), we get a palindrome (44748084744).

The spelling of 21742060032 in words is "twenty-one billion, seven hundred forty-two million, sixty thousand, thirty-two".