7161195600 has 360 divisors, whose sum is σ = 28340420472. Its totient is φ = 1658880000.

The previous prime is 7161195577. The next prime is 7161195607. The reversal of 7161195600 is 65911617.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3377469456 + 3783726144 = 58116^2 + 61512^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7161195607) 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, 791100 + ... + 800100.

Almost surely, 2^7161195600 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 7161195600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170210236).

7161195600 is an abundant number, since it is smaller than the sum of its proper divisors (21179224872).

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

7161195600 is a wasteful number, since it uses less digits than its factorization.

7161195600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9055 (or 9041 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 7161195600 is about 84623.8477026423. The cubic root of 7161195600 is about 1927.5035150607.

The spelling of 7161195600 in words is "seven billion, one hundred sixty-one million, one hundred ninety-five thousand, six hundred".