7188825600 has 960 divisors, whose sum is σ = 30200924160. Its totient is φ = 1658880000.

The previous prime is 7188825587. The next prime is 7188825619. The reversal of 7188825600 is 65288817.

7188825600 is a `hidden beast` number, since 7 + 1 + 8 + 8 + 82 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117849570 + ... + 117849630.

It is an arithmetic number, because the mean of its divisors is an integer number (31459296).

Almost surely, 2^7188825600 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 7188825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100462080).

7188825600 is an abundant number, since it is smaller than the sum of its proper divisors (23012098560).

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

7188825600 is a wasteful number, since it uses less digits than its factorization.

7188825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 7188825600 is about 84786.9423909130. The cubic root of 7188825600 is about 1929.9792922868.

The spelling of 7188825600 in words is "seven billion, one hundred eighty-eight million, eight hundred twenty-five thousand, six hundred".