42790864896 has 576 divisors, whose sum is σ = 145080936000. Its totient is φ = 12421693440.

The previous prime is 42790864867. The next prime is 42790864913. The reversal of 42790864896 is 69846809724.

42790864896 is a `hidden beast` number, since 4 + 2 + 79 + 0 + 86 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177555336 + ... + 177555576.

It is an arithmetic number, because the mean of its divisors is an integer number (251876625).

Almost surely, 2^42790864896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42790864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72540468000).

42790864896 is an abundant number, since it is smaller than the sum of its proper divisors (102290071104).

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

42790864896 is a wasteful number, since it uses less digits than its factorization.

42790864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

It can be divided in two parts, 427908 and 64896, that added together give a square (492804 = 702²).

The spelling of 42790864896 in words is "forty-two billion, seven hundred ninety million, eight hundred sixty-four thousand, eight hundred ninety-six".