7188873120 has 672 divisors, whose sum is σ = 29985064704. Its totient is φ = 1604966400.

The previous prime is 7188873091. The next prime is 7188873121. The reversal of 7188873120 is 213788817.

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

It is not an unprimeable number, because it can be changed into a prime (7188873121) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16679305 + ... + 16679735.

It is an arithmetic number, because the mean of its divisors is an integer number (44620632).

Almost surely, 2^7188873120 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 7188873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14992532352).

7188873120 is an abundant number, since it is smaller than the sum of its proper divisors (22796191584).

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

7188873120 is a wasteful number, since it uses less digits than its factorization.

7188873120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 7188873120 is about 84787.2226222796. Note that the first 3 decimals coincide. The cubic root of 7188873120 is about 1929.9835448318.

The spelling of 7188873120 in words is "seven billion, one hundred eighty-eight million, eight hundred seventy-three thousand, one hundred twenty".