8442387072 has 192 divisors, whose sum is σ = 27935107200. Its totient is φ = 2397284352.

The previous prime is 8442387071. The next prime is 8442387073. The reversal of 8442387072 is 2707832448.

8442387072 is a `hidden beast` number, since 84 + 423 + 87 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (8442387071) and next prime (8442387073).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (8442387071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1343554 + ... + 1349822.

It is an arithmetic number, because the mean of its divisors is an integer number (145495350).

Almost surely, 2^8442387072 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 8442387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13967553600).

8442387072 is an abundant number, since it is smaller than the sum of its proper divisors (19492720128).

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

8442387072 is a wasteful number, since it uses less digits than its factorization.

8442387072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6463 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 8442387072 is about 91882.4633540046. The cubic root of 8442387072 is about 2036.2061900456.

The spelling of 8442387072 in words is "eight billion, four hundred forty-two million, three hundred eighty-seven thousand, seventy-two".