42633889507968 has 256 divisors, whose sum is σ = 130354031808000. Its totient is φ = 12210173521920.

The previous prime is 42633889507961. The next prime is 42633889507981. The reversal of 42633889507968 is 86970598833624.

42633889507968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42633889507893 and 42633889507902.

It is not an unprimeable number, because it can be changed into a prime (42633889507961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32993346 + ... + 34261182.

It is an arithmetic number, because the mean of its divisors is an integer number (509195436750).

Almost surely, 2^{42633889507968} is an apocalyptic number.

42633889507968 is a gapful number since it is divisible by the number (48) 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 42633889507968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65177015904000).

42633889507968 is an abundant number, since it is smaller than the sum of its proper divisors (87720142300032).

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

42633889507968 is a wasteful number, since it uses less digits than its factorization.

42633889507968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268303 (or 1268291 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 78.

The spelling of 42633889507968 in words is "forty-two trillion, six hundred thirty-three billion, eight hundred eighty-nine million, five hundred seven thousand, nine hundred sixty-eight".