42546664000 has 56 divisors (see below), whose sum is σ = 105366833208. Its totient is φ = 17018662400.

The previous prime is 42546663983. The next prime is 42546664001. The reversal of 42546664000 is 46664524.

42546664000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 613453824 + 41933210176 = 24768^2 + 204776^2 .

It is not an unprimeable number, because it can be changed into a prime (42546664001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2651167 + ... + 2667166.

It is an arithmetic number, because the mean of its divisors is an integer number (1881550593).

Almost surely, 2^42546664000 is an apocalyptic number.

42546664000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42546664000 is an abundant number, since it is smaller than the sum of its proper divisors (62820169208).

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

42546664000 is an equidigital number, since it uses as much as digits as its factorization.

42546664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318360 (or 5318340 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 42546664000 in words is "forty-two billion, five hundred forty-six million, six hundred sixty-four thousand".