42533561664 has 168 divisors, whose sum is σ = 133303060800. Its totient is φ = 12859392000.

The previous prime is 42533561641. The next prime is 42533561669. The reversal of 42533561664 is 46616533524.

42533561664 is a `hidden beast` number, since 4 + 2 + 533 + 56 + 1 + 6 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42533561669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2837389 + ... + 2852339.

It is an arithmetic number, because the mean of its divisors is an integer number (793470600).

Almost surely, 2^42533561664 is an apocalyptic number.

42533561664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42533561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66651530400).

42533561664 is an abundant number, since it is smaller than the sum of its proper divisors (90769499136).

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

42533561664 is a wasteful number, since it uses less digits than its factorization.

42533561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15429 (or 15416 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 42533561664 in words is "forty-two billion, five hundred thirty-three million, five hundred sixty-one thousand, six hundred sixty-four".