42100669680 has 80 divisors (see below), whose sum is σ = 137381147520. Its totient is φ = 10635957504.

The previous prime is 42100669679. The next prime is 42100669687. The reversal of 42100669680 is 8696600124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42100669687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4611742 + ... + 4620861.

It is an arithmetic number, because the mean of its divisors is an integer number (1717264344).

Almost surely, 2^42100669680 is an apocalyptic number.

42100669680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42100669680 is an abundant number, since it is smaller than the sum of its proper divisors (95280477840).

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

42100669680 is a wasteful number, since it uses less digits than its factorization.

42100669680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232638 (or 9232632 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 42100669680 in words is "forty-two billion, one hundred million, six hundred sixty-nine thousand, six hundred eighty".