42753664 has 32 divisors (see below), whose sum is σ = 85631040. Its totient is φ = 21262080.

The previous prime is 42753647. The next prime is 42753673. The reversal of 42753664 is 46635724.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26217 + ... + 27799.

It is an arithmetic number, because the mean of its divisors is an integer number (2675970).

Almost surely, 2^42753664 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 42753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42815520).

42753664 is an abundant number, since it is smaller than the sum of its proper divisors (42877376).

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

42753664 is a wasteful number, since it uses less digits than its factorization.

42753664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1796 counting only the distinct ones).

The product of its digits is 120960, while the sum is 37.

The square root of 42753664 is about 6538.6286023906. The cubic root of 42753664 is about 349.6695220671.

The spelling of 42753664 in words is "forty-two million, seven hundred fifty-three thousand, six hundred sixty-four".