42721567616 has 128 divisors (see below), whose sum is σ = 108362923200. Its totient is φ = 16317923328.

The previous prime is 42721567607. The next prime is 42721567619. The reversal of 42721567616 is 61676512724.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42721567619) 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 15 ways as a sum of consecutive naturals, for example, 274556 + ... + 401028.

Almost surely, 2^42721567616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42721567616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54181461600).

42721567616 is an abundant number, since it is smaller than the sum of its proper divisors (65641355584).

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

42721567616 is a wasteful number, since it uses less digits than its factorization.

42721567616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126536 (or 126524 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The spelling of 42721567616 in words is "forty-two billion, seven hundred twenty-one million, five hundred sixty-seven thousand, six hundred sixteen".