7114540800 has 432 divisors, whose sum is σ = 25292881152. Its totient is φ = 1754726400.

The previous prime is 7114540793. The next prime is 7114540801. The reversal of 7114540800 is 80454117.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7114540801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23174247 + ... + 23174553.

It is an arithmetic number, because the mean of its divisors is an integer number (58548336).

Almost surely, 2^7114540800 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 7114540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646440576).

7114540800 is an abundant number, since it is smaller than the sum of its proper divisors (18178340352).

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

7114540800 is a wasteful number, since it uses less digits than its factorization.

7114540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 7114540800 is about 84347.7373733285. The cubic root of 7114540800 is about 1923.3085315961.

Adding to 7114540800 its reverse (80454117), we get a palindrome (7194994917).

The spelling of 7114540800 in words is "seven billion, one hundred fourteen million, five hundred forty thousand, eight hundred".