7125350400 has 648 divisors, whose sum is σ = 29797545960. Its totient is φ = 1593999360.

The previous prime is 7125350359. The next prime is 7125350429. The reversal of 7125350400 is 40535217.

It is a happy number.

7125350400 is a `hidden beast` number, since 7 + 1 + 253 + 5 + 0 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 151603177 + ... + 151603223.

Almost surely, 2^7125350400 is an apocalyptic number.

7125350400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7125350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898772980).

7125350400 is an abundant number, since it is smaller than the sum of its proper divisors (22672195560).

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

7125350400 is a wasteful number, since it uses less digits than its factorization.

7125350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 7125350400 is about 84411.7906456201. The cubic root of 7125350400 is about 1924.2821093271.

Adding to 7125350400 its reverse (40535217), we get a palindrome (7165885617).

The spelling of 7125350400 in words is "seven billion, one hundred twenty-five million, three hundred fifty thousand, four hundred".