17742066084 has 144 divisors (see below), whose sum is σ = 46546980480. Its totient is φ = 5694635520.

The previous prime is 17742066077. The next prime is 17742066101. The reversal of 17742066084 is 48066024771.

17742066084 is a `hidden beast` number, since 17 + 7 + 4 + 20 + 6 + 608 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57048289 + ... + 57048599.

It is an arithmetic number, because the mean of its divisors is an integer number (323242920).

Almost surely, 2^17742066084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17742066084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23273490240).

17742066084 is an abundant number, since it is smaller than the sum of its proper divisors (28804914396).

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

17742066084 is a wasteful number, since it uses less digits than its factorization.

17742066084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 17742066084 in words is "seventeen billion, seven hundred forty-two million, sixty-six thousand, eighty-four".