42532792704 has 96 divisors (see below), whose sum is σ = 122491769400. Its totient is φ = 14166104064.

The previous prime is 42532792691. The next prime is 42532792733. The reversal of 42532792704 is 40729723524.

42532792704 is a `hidden beast` number, since 42 + 532 + 7 + 9 + 2 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 42532792704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1470607 + ... + 1499249.

Almost surely, 2^42532792704 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 42532792704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61245884700).

42532792704 is an abundant number, since it is smaller than the sum of its proper divisors (79958976696).

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

42532792704 is a wasteful number, since it uses less digits than its factorization.

42532792704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29952 (or 29937 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 42532792704 in words is "forty-two billion, five hundred thirty-two million, seven hundred ninety-two thousand, seven hundred four".