42850000768 has 64 divisors (see below), whose sum is σ = 87460430400. Its totient is φ = 20902070272.

The previous prime is 42850000751. The next prime is 42850000771. The reversal of 42850000768 is 86700005824.

42850000768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×42850000768² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42850000768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1895838 + ... + 1918306.

It is an arithmetic number, because the mean of its divisors is an integer number (1366569225).

Almost surely, 2^42850000768 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 42850000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43730215200).

42850000768 is an abundant number, since it is smaller than the sum of its proper divisors (44610429632).

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

42850000768 is a wasteful number, since it uses less digits than its factorization.

42850000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22847 (or 22835 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 42850000768 in words is "forty-two billion, eight hundred fifty million, seven hundred sixty-eight", and thus it is an aban number.