42721567648 has 48 divisors (see below), whose sum is σ = 85619207520. Its totient is φ = 20978092800.

The previous prime is 42721567643. The next prime is 42721567657. The reversal of 42721567648 is 84676512724.

42721567648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42721567595 and 42721567604.

It is not an unprimeable number, because it can be changed into a prime (42721567643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269763 + ... + 1302973.

It is an arithmetic number, because the mean of its divisors is an integer number (1783733490).

Almost surely, 2^42721567648 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 42721567648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42809603760).

42721567648 is an abundant number, since it is smaller than the sum of its proper divisors (42897639872).

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

42721567648 is a wasteful number, since it uses less digits than its factorization.

42721567648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33941 (or 33933 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 52.

The spelling of 42721567648 in words is "forty-two billion, seven hundred twenty-one million, five hundred sixty-seven thousand, six hundred forty-eight".