42658562646 has 192 divisors, whose sum is σ = 111286296576. Its totient is φ = 11554099200.

The previous prime is 42658562509. The next prime is 42658562647. The reversal of 42658562646 is 64626585624.

42658562646 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 8 + 5 + 626 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42658562592 and 42658562601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42658562647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53523520 + ... + 53524316.

It is an arithmetic number, because the mean of its divisors is an integer number (579616128).

Almost surely, 2^42658562646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42658562646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55643148288).

42658562646 is an abundant number, since it is smaller than the sum of its proper divisors (68627733930).

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

42658562646 is a wasteful number, since it uses less digits than its factorization.

42658562646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1104 counting only the distinct ones).

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

The spelling of 42658562646 in words is "forty-two billion, six hundred fifty-eight million, five hundred sixty-two thousand, six hundred forty-six".