42584272868736 has 96 divisors (see below), whose sum is σ = 122543747937000. Its totient is φ = 14194402363392.

The previous prime is 42584272868729. The next prime is 42584272868779. The reversal of 42584272868736 is 63786827248524.

It is a happy number.

42584272868736 is a `hidden beast` number, since 4 + 2 + 58 + 427 + 2 + 86 + 8 + 73 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47768395 + ... + 48651701.

Almost surely, 2^{42584272868736} is an apocalyptic number.

It is an amenable number.

42584272868736 is an abundant number, since it is smaller than the sum of its proper divisors (79959475068264).

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

42584272868736 is a wasteful number, since it uses less digits than its factorization.

42584272868736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925176 (or 925161 counting only the distinct ones).

The product of its digits is 1734082560, while the sum is 72.

The spelling of 42584272868736 in words is "forty-two trillion, five hundred eighty-four billion, two hundred seventy-two million, eight hundred sixty-eight thousand, seven hundred thirty-six".