42736994720 has 192 divisors, whose sum is σ = 118153728000. Its totient is φ = 14303388672.

The previous prime is 42736994719. The next prime is 42736994749. The reversal of 42736994720 is 2749963724.

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 31 ways as a sum of consecutive naturals, for example, 26266547 + ... + 26268173.

It is an arithmetic number, because the mean of its divisors is an integer number (615384000).

Almost surely, 2^42736994720 is an apocalyptic number.

42736994720 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 42736994720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59076864000).

42736994720 is an abundant number, since it is smaller than the sum of its proper divisors (75416733280).

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

42736994720 is a wasteful number, since it uses less digits than its factorization.

42736994720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 53.

The spelling of 42736994720 in words is "forty-two billion, seven hundred thirty-six million, nine hundred ninety-four thousand, seven hundred twenty".