8442008736 has 48 divisors (see below), whose sum is σ = 25326028224. Its totient is φ = 2412002304.

The previous prime is 8442008719. The next prime is 8442008737. The reversal of 8442008736 is 6378002448.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×8442008736² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8442008737) 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, 6280585 + ... + 6281928.

It is an arithmetic number, because the mean of its divisors is an integer number (527625588).

Almost surely, 2^8442008736 is an apocalyptic number.

It is an amenable number.

8442008736 is an abundant number, since it is smaller than the sum of its proper divisors (16884019488).

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

8442008736 is a wasteful number, since it uses less digits than its factorization.

8442008736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12562533 (or 12562525 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 8442008736 is about 91880.4045267542. The cubic root of 8442008736 is about 2036.1757728343.

The spelling of 8442008736 in words is "eight billion, four hundred forty-two million, eight thousand, seven hundred thirty-six".