42763704192 has 256 divisors, whose sum is σ = 138167078400. Its totient is φ = 12913459200.

The previous prime is 42763704173. The next prime is 42763704223. The reversal of 42763704192 is 29140736724.

42763704192 is a `hidden beast` number, since 4 + 2 + 7 + 637 + 0 + 4 + 1 + 9 + 2 = 666.

42763704192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11821168 + ... + 11824784.

It is an arithmetic number, because the mean of its divisors is an integer number (539715150).

Almost surely, 2^42763704192 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 42763704192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69083539200).

42763704192 is an abundant number, since it is smaller than the sum of its proper divisors (95403374208).

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

42763704192 is a wasteful number, since it uses less digits than its factorization.

42763704192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 42763704192 in words is "forty-two billion, seven hundred sixty-three million, seven hundred four thousand, one hundred ninety-two".