7875438144 has 112 divisors (see below), whose sum is σ = 24149523456. Its totient is φ = 2218406400.

The previous prime is 7875438133. The next prime is 7875438149. The reversal of 7875438144 is 4418345787.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (7875438149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54159 + ... + 136689.

Almost surely, 2^7875438144 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 7875438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12074761728).

7875438144 is an abundant number, since it is smaller than the sum of its proper divisors (16274085312).

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

7875438144 is a wasteful number, since it uses less digits than its factorization.

7875438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82624 (or 82614 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 51.

The square root of 7875438144 is about 88743.6653739296. The cubic root of 7875438144 is about 1989.5655006193.

The spelling of 7875438144 in words is "seven billion, eight hundred seventy-five million, four hundred thirty-eight thousand, one hundred forty-four".