42378478506 has 128 divisors (see below), whose sum is σ = 116407549440. Its totient is φ = 11128472064.

The previous prime is 42378478487. The next prime is 42378478547. The reversal of 42378478506 is 60587487324.

42378478506 is a `hidden beast` number, since 4 + 23 + 78 + 47 + 8 + 506 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1126456 + ... + 1163468.

It is an arithmetic number, because the mean of its divisors is an integer number (909433980).

Almost surely, 2^42378478506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42378478506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58203774720).

42378478506 is an abundant number, since it is smaller than the sum of its proper divisors (74029070934).

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

42378478506 is a wasteful number, since it uses less digits than its factorization.

42378478506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37277 (or 37271 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 42378478506 in words is "forty-two billion, three hundred seventy-eight million, four hundred seventy-eight thousand, five hundred six".