7644042 has 96 divisors (see below), whose sum is σ = 20766720. Its totient is φ = 1982880.

The previous prime is 7644041. The next prime is 7644047. The reversal of 7644042 is 2404467.

It is a junction number, because it is equal to n+sod(n) for n = 7643997 and 7644015.

It is not an unprimeable number, because it can be changed into a prime (7644041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74163 + ... + 74265.

It is an arithmetic number, because the mean of its divisors is an integer number (216320).

Almost surely, 2^7644042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7644042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10383360).

7644042 is an abundant number, since it is smaller than the sum of its proper divisors (13122678).

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

7644042 is a wasteful number, since it uses less digits than its factorization.

7644042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 7644042 is about 2764.7860676732. The cubic root of 7644042 is about 196.9885672804.

The spelling of 7644042 in words is "seven million, six hundred forty-four thousand, forty-two".