42626957632 has 224 divisors, whose sum is σ = 109712199168. Its totient is φ = 15999565824.

The previous prime is 42626957629. The next prime is 42626957641. The reversal of 42626957632 is 23675962624.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 42626957632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6477928 + ... + 6484504.

Almost surely, 2^42626957632 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 42626957632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54856099584).

42626957632 is an abundant number, since it is smaller than the sum of its proper divisors (67085241536).

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

42626957632 is a wasteful number, since it uses less digits than its factorization.

42626957632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6673 (or 6663 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 52.

The spelling of 42626957632 in words is "forty-two billion, six hundred twenty-six million, nine hundred fifty-seven thousand, six hundred thirty-two".