42747768 has 96 divisors (see below), whose sum is σ = 133941600. Its totient is φ = 12063744.

The previous prime is 42747743. The next prime is 42747773. The reversal of 42747768 is 86774724.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44380 + ... + 45332.

It is an arithmetic number, because the mean of its divisors is an integer number (1395225).

Almost surely, 2^42747768 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 42747768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66970800).

42747768 is an abundant number, since it is smaller than the sum of its proper divisors (91193832).

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

42747768 is a wasteful number, since it uses less digits than its factorization.

42747768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1054 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 42747768 is about 6538.1777277771. The cubic root of 42747768 is about 349.6534474504.

The spelling of 42747768 in words is "forty-two million, seven hundred forty-seven thousand, seven hundred sixty-eight".