42683038624 has 48 divisors (see below), whose sum is σ = 87761475648. Its totient is φ = 20396012032.

The previous prime is 42683038597. The next prime is 42683038627.

42683038624 is nontrivially palindromic in base 10.

42683038624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (42683038627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849204 + ... + 898060.

It is an arithmetic number, because the mean of its divisors is an integer number (1828364076).

Almost surely, 2^42683038624 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 42683038624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43880737824).

42683038624 is an abundant number, since it is smaller than the sum of its proper divisors (45078437024).

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

42683038624 is a wasteful number, since it uses less digits than its factorization.

42683038624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50077 (or 50069 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 42683038624 in words is "forty-two billion, six hundred eighty-three million, thirty-eight thousand, six hundred twenty-four".