42605568000 has 896 divisors, whose sum is σ = 166839229440. Its totient is φ = 10705305600.

The previous prime is 42605567999. The next prime is 42605568013. The reversal of 42605568000 is 86550624.

42605568000 is a `hidden beast` number, since 4 + 26 + 0 + 556 + 80 + 0 + 0 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 635903967 + ... + 635904033.

Almost surely, 2^42605568000 is an apocalyptic number.

42605568000 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 42605568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83419614720).

42605568000 is an abundant number, since it is smaller than the sum of its proper divisors (124233661440).

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

42605568000 is an equidigital number, since it uses as much as digits as its factorization.

42605568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 42605568000 in words is "forty-two billion, six hundred five million, five hundred sixty-eight thousand".