7128950400 has 768 divisors, whose sum is σ = 30704284800. Its totient is φ = 1592524800.

The previous prime is 7128950393. The next prime is 7128950401. The reversal of 7128950400 is 40598217.

7128950400 is a `hidden beast` number, since 71 + 2 + 89 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7128950401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12354912 + ... + 12355488.

Almost surely, 2^7128950400 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 7128950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15352142400).

7128950400 is an abundant number, since it is smaller than the sum of its proper divisors (23575334400).

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

7128950400 is a wasteful number, since it uses less digits than its factorization.

7128950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 7128950400 is about 84433.1119881294. Note that the first 3 decimals coincide. The cubic root of 7128950400 is about 1924.6061284451.

The spelling of 7128950400 in words is "seven billion, one hundred twenty-eight million, nine hundred fifty thousand, four hundred".