42176000680 has 128 divisors (see below), whose sum is σ = 108146534400. Its totient is φ = 14653267200.

The previous prime is 42176000653. The next prime is 42176000683. The reversal of 42176000680 is 8600067124.

It is not an unprimeable number, because it can be changed into a prime (42176000683) 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 31 ways as a sum of consecutive naturals, for example, 11848741 + ... + 11852299.

It is an arithmetic number, because the mean of its divisors is an integer number (844894800).

Almost surely, 2^42176000680 is an apocalyptic number.

42176000680 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 42176000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54073267200).

42176000680 is an abundant number, since it is smaller than the sum of its proper divisors (65970533720).

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

42176000680 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (42176000679) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4771).

42176000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 42176000680 in words is "forty-two billion, one hundred seventy-six million, six hundred eighty", and thus it is an aban number.