42656865624 has 128 divisors (see below), whose sum is σ = 119159040000. Its totient is φ = 14139100800.

The previous prime is 42656865607. The next prime is 42656865677.

42656865624 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 6 + 8 + 6 + 5 + 624 = 666.

42656865624 is nontrivially palindromic in base 10.

42656865624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 43043769 + ... + 43044759.

It is an arithmetic number, because the mean of its divisors is an integer number (930930000).

Almost surely, 2^42656865624 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 42656865624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59579520000).

42656865624 is an abundant number, since it is smaller than the sum of its proper divisors (76502174376).

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

42656865624 is a wasteful number, since it uses less digits than its factorization.

42656865624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1916 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 42656865624 in words is "forty-two billion, six hundred fifty-six million, eight hundred sixty-five thousand, six hundred twenty-four".