7112145600 has 672 divisors, whose sum is σ = 30689702400. Its totient is φ = 1567641600.

The previous prime is 7112145577. The next prime is 7112145617. The reversal of 7112145600 is 65412117.

It is a happy number.

7112145600 is a `hidden beast` number, since 7 + 1 + 12 + 1 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 8769195 + ... + 8770005.

It is an arithmetic number, because the mean of its divisors is an integer number (45669200).

Almost surely, 2^7112145600 is an apocalyptic number.

7112145600 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 7112145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344851200).

7112145600 is an abundant number, since it is smaller than the sum of its proper divisors (23577556800).

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

7112145600 is a wasteful number, since it uses less digits than its factorization.

7112145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 7112145600 is about 84333.5378126638. The cubic root of 7112145600 is about 1923.0926720023.

Adding to 7112145600 its reverse (65412117), we get a palindrome (7177557717).

The spelling of 7112145600 in words is "seven billion, one hundred twelve million, one hundred forty-five thousand, six hundred".