7116825600 has 792 divisors, whose sum is σ = 28509960960. Its totient is φ = 1686896640.

The previous prime is 7116825593. The next prime is 7116825601. The reversal of 7116825600 is 65286117.

7116825600 is a `hidden beast` number, since 7 + 1 + 16 + 82 + 560 + 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 (7116825601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90086361 + ... + 90086439.

Almost surely, 2^7116825600 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 7116825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14254980480).

7116825600 is an abundant number, since it is smaller than the sum of its proper divisors (21393135360).

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

7116825600 is a wasteful number, since it uses less digits than its factorization.

7116825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

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

The square root of 7116825600 is about 84361.2802178819. The cubic root of 7116825600 is about 1923.5143966045.

The spelling of 7116825600 in words is "seven billion, one hundred sixteen million, eight hundred twenty-five thousand, six hundred".