42662826624 has 192 divisors, whose sum is σ = 125808913440. Its totient is φ = 12798720000.

The previous prime is 42662826623. The next prime is 42662826631.

42662826624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (42662826623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4688319 + ... + 4697409.

Almost surely, 2^42662826624 is an apocalyptic number.

42662826624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42662826624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62904456720).

42662826624 is an abundant number, since it is smaller than the sum of its proper divisors (83146086816).

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

42662826624 is a wasteful number, since it uses less digits than its factorization.

42662826624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9231 (or 9208 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

42662826624 divided by its sum of digits (48) gives a palindrome (888808888).

The spelling of 42662826624 in words is "forty-two billion, six hundred sixty-two million, eight hundred twenty-six thousand, six hundred twenty-four".