42630686784 has 189 divisors, whose sum is σ = 142258822797. Its totient is φ = 12170285568.

The previous prime is 42630686771. The next prime is 42630686797. The reversal of 42630686784 is 48768603624.

The square root of 42630686784 is 206472.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (42630686771) and next prime (42630686797).

It can be written as a sum of positive squares in only one way, i.e., 42077496384 + 553190400 = 205128^2 + 23520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42630686784.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 34686682 + ... + 34687910.

Almost surely, 2^42630686784 is an apocalyptic number.

42630686784 is the 206472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42630686784

42630686784 is an abundant number, since it is smaller than the sum of its proper divisors (99628136013).

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

42630686784 is an equidigital number, since it uses as much as digits as its factorization.

42630686784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 42630686784 in words is "forty-two billion, six hundred thirty million, six hundred eighty-six thousand, seven hundred eighty-four".