42564713544 has 128 divisors (see below), whose sum is σ = 120141964800. Its totient is φ = 13959950400.

The previous prime is 42564713483. The next prime is 42564713549. The reversal of 42564713544 is 44531746524.

42564713544 is a `hidden beast` number, since 4 + 2 + 56 + 47 + 13 + 544 = 666.

42564713544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42564713544.

It is not an unprimeable number, because it can be changed into a prime (42564713549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20997859 + ... + 20999885.

It is an arithmetic number, because the mean of its divisors is an integer number (938609100).

Almost surely, 2^42564713544 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 42564713544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60070982400).

42564713544 is an abundant number, since it is smaller than the sum of its proper divisors (77577251256).

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

42564713544 is a wasteful number, since it uses less digits than its factorization.

42564713544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3550 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 42564713544 in words is "forty-two billion, five hundred sixty-four million, seven hundred thirteen thousand, five hundred forty-four".