42188329764 has 144 divisors (see below), whose sum is σ = 127981338240. Its totient is φ = 11773097280.

The previous prime is 42188329727. The next prime is 42188329787. The reversal of 42188329764 is 46792388124.

42188329764 is a `hidden beast` number, since 4 + 218 + 83 + 297 + 64 = 666.

42188329764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42188329764.

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, 1382754 + ... + 1412934.

Almost surely, 2^42188329764 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 42188329764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63990669120).

42188329764 is an abundant number, since it is smaller than the sum of its proper divisors (85793008476).

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

42188329764 is a wasteful number, since it uses less digits than its factorization.

42188329764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30287 (or 30236 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 42188329764 in words is "forty-two billion, one hundred eighty-eight million, three hundred twenty-nine thousand, seven hundred sixty-four".