42632802199680 has 2048 divisors, whose sum is σ = 180576387072000. Its totient is φ = 8288162611200.

The previous prime is 42632802199643. The next prime is 42632802199727. The reversal of 42632802199680 is 8699120823624.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 122861101267 + ... + 122861101613.

It is an arithmetic number, because the mean of its divisors is an integer number (88172064000).

Almost surely, 2^{42632802199680} is an apocalyptic number.

42632802199680 is a gapful number since it is divisible by the number (40) 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 42632802199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90288193536000).

42632802199680 is an abundant number, since it is smaller than the sum of its proper divisors (137943584872320).

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

42632802199680 is a wasteful number, since it uses less digits than its factorization.

42632802199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 42632802199680 in words is "forty-two trillion, six hundred thirty-two billion, eight hundred two million, one hundred ninety-nine thousand, six hundred eighty".