42836920280064 has 297 divisors, whose sum is σ = 125421533341923. Its totient is φ = 14081890627584.

The previous prime is 42836920279997. The next prime is 42836920280083. The reversal of 42836920280064 is 46008202963824.

The square root of 42836920280064 is 6544992.

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

42836920280064 is a `hidden beast` number, since 4 + 283 + 6 + 9 + 20 + 280 + 0 + 64 = 666.

42836920280064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49637218897 + ... + 49637219759.

Almost surely, 2^{42836920280064} is an apocalyptic number.

42836920280064 is the 6544992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42836920280064

42836920280064 is an abundant number, since it is smaller than the sum of its proper divisors (82584613061859).

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

42836920280064 is an frugal number, since it uses more digits than its factorization.

42836920280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 42836920280064 in words is "forty-two trillion, eight hundred thirty-six billion, nine hundred twenty million, two hundred eighty thousand, sixty-four".