7542350400 has 168 divisors, whose sum is σ = 26648891584. Its totient is φ = 1856563200.

The previous prime is 7542350383. The next prime is 7542350401. The reversal of 7542350400 is 40532457.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (7542350401) 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, 1965 + ... + 122835.

Almost surely, 2^7542350400 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 7542350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13324445792).

7542350400 is an abundant number, since it is smaller than the sum of its proper divisors (19106541184).

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

7542350400 is a wasteful number, since it uses less digits than its factorization.

7542350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120909 (or 120894 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 7542350400 is about 86846.7063278741. The cubic root of 7542350400 is about 1961.1112676422. Note that the first 3 decimals are identical.

Adding to 7542350400 its reverse (40532457), we get a palindrome (7582882857).

The spelling of 7542350400 in words is "seven billion, five hundred forty-two million, three hundred fifty thousand, four hundred".