42756665724 has 96 divisors (see below), whose sum is σ = 114331392000. Its totient is φ = 13810708800.

The previous prime is 42756665719. The next prime is 42756665753.

42756665724 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470977 + ... + 554375.

It is an arithmetic number, because the mean of its divisors is an integer number (1190952000).

Almost surely, 2^42756665724 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 42756665724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57165696000).

42756665724 is an abundant number, since it is smaller than the sum of its proper divisors (71574726276).

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

42756665724 is a wasteful number, since it uses less digits than its factorization.

42756665724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83560 (or 83552 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 42756665724 in words is "forty-two billion, seven hundred fifty-six million, six hundred sixty-five thousand, seven hundred twenty-four".