7538242400 has 144 divisors (see below), whose sum is σ = 20861946000. Its totient is φ = 2636789760.

The previous prime is 7538242399. The next prime is 7538242403. The reversal of 7538242400 is 42428357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7538242403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178526 + ... + 216674.

It is an arithmetic number, because the mean of its divisors is an integer number (144874625).

Almost surely, 2^7538242400 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 7538242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10430973000).

7538242400 is an abundant number, since it is smaller than the sum of its proper divisors (13323703600).

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

7538242400 is a wasteful number, since it uses less digits than its factorization.

7538242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38201 (or 38188 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 7538242400 is about 86823.0522384464. The cubic root of 7538242400 is about 1960.7551581301.

The spelling of 7538242400 in words is "seven billion, five hundred thirty-eight million, two hundred forty-two thousand, four hundred".