42668020080 has 800 divisors, whose sum is σ = 175726848000. Its totient is φ = 9629238528.

The previous prime is 42668020067. The next prime is 42668020093. The reversal of 42668020080 is 8002086624.

It is an interprime number because it is at equal distance from previous prime (42668020067) and next prime (42668020093).

It is a super-3 number, since 3×42668020080³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 540101481 + ... + 540101559.

It is an arithmetic number, because the mean of its divisors is an integer number (219658560).

Almost surely, 2^42668020080 is an apocalyptic number.

42668020080 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 42668020080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87863424000).

42668020080 is an abundant number, since it is smaller than the sum of its proper divisors (133058827920).

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

42668020080 is an frugal number, since it uses more digits than its factorization.

42668020080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 42668020080 in words is "forty-two billion, six hundred sixty-eight million, twenty thousand, eighty".