42645645504 has 896 divisors, whose sum is σ = 165421056000. Its totient is φ = 10668672000.

The previous prime is 42645645467. The next prime is 42645645517. The reversal of 42645645504 is 40554654624.

42645645504 is a `hidden beast` number, since 42 + 6 + 4 + 56 + 4 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42645645504.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 202111959 + ... + 202112169.

Almost surely, 2^42645645504 is an apocalyptic number.

42645645504 is a gapful number since it is divisible by the number (44) 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 42645645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82710528000).

42645645504 is an abundant number, since it is smaller than the sum of its proper divisors (122775410496).

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

42645645504 is a wasteful number, since it uses less digits than its factorization.

42645645504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 42645645504 in words is "forty-two billion, six hundred forty-five million, six hundred forty-five thousand, five hundred four".