42673437624 has 128 divisors (see below), whose sum is σ = 113616230400. Its totient is φ = 13332625920.

The previous prime is 42673437617. The next prime is 42673437629.

42673437624 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42673437629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6245442 + ... + 6252270.

It is an arithmetic number, because the mean of its divisors is an integer number (887626800).

Almost surely, 2^42673437624 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 42673437624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56808115200).

42673437624 is an abundant number, since it is smaller than the sum of its proper divisors (70942792776).

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

42673437624 is a wasteful number, since it uses less digits than its factorization.

42673437624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7133 (or 7129 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 48.

The spelling of 42673437624 in words is "forty-two billion, six hundred seventy-three million, four hundred thirty-seven thousand, six hundred twenty-four".