42684729360 has 640 divisors, whose sum is σ = 169375159296. Its totient is φ = 8652718080.

The previous prime is 42684729323. The next prime is 42684729427. The reversal of 42684729360 is 6392748624.

It is a super-3 number, since 3×42684729360³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65366794 + ... + 65367446.

Almost surely, 2^42684729360 is an apocalyptic number.

42684729360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42684729360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84687579648).

42684729360 is an abundant number, since it is smaller than the sum of its proper divisors (126690429936).

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

42684729360 is a wasteful number, since it uses less digits than its factorization.

42684729360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 42684729360 in words is "forty-two billion, six hundred eighty-four million, seven hundred twenty-nine thousand, three hundred sixty".