42626062624 has 96 divisors (see below), whose sum is σ = 87211821312. Its totient is φ = 20494080000.

The previous prime is 42626062579. The next prime is 42626062631.

It is a happy number.

42626062624 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35910159 + ... + 35911345.

It is an arithmetic number, because the mean of its divisors is an integer number (908456472).

Almost surely, 2^42626062624 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 42626062624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43605910656).

42626062624 is an abundant number, since it is smaller than the sum of its proper divisors (44585758688).

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

42626062624 is a wasteful number, since it uses less digits than its factorization.

42626062624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

It can be divided in two parts, 426260 and 62624, that added together give a palindrome (488884).

The spelling of 42626062624 in words is "forty-two billion, six hundred twenty-six million, sixty-two thousand, six hundred twenty-four".