42563664 has 240 divisors, whose sum is σ = 147044160. Its totient is φ = 11681280.

The previous prime is 42563581. The next prime is 42563671. The reversal of 42563664 is 46636524.

It is a super-3 number, since 3×42563664³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 803062 + ... + 803114.

It is an arithmetic number, because the mean of its divisors is an integer number (612684).

Almost surely, 2^42563664 is an apocalyptic number.

42563664 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 42563664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73522080).

42563664 is an abundant number, since it is smaller than the sum of its proper divisors (104480496).

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

42563664 is a wasteful number, since it uses less digits than its factorization.

42563664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 42563664 is about 6524.0833838939. The cubic root of 42563664 is about 349.1507683219.

The spelling of 42563664 in words is "forty-two million, five hundred sixty-three thousand, six hundred sixty-four".