7118713728 has 384 divisors, whose sum is σ = 24707174400. Its totient is φ = 2011806720.

The previous prime is 7118713727. The next prime is 7118713733. The reversal of 7118713728 is 8273178117.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7118713727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21506523 + ... + 21506853.

It is an arithmetic number, because the mean of its divisors is an integer number (64341600).

Almost surely, 2^7118713728 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 7118713728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12353587200).

7118713728 is an abundant number, since it is smaller than the sum of its proper divisors (17588460672).

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

7118713728 is a wasteful number, since it uses less digits than its factorization.

7118713728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 470 counting only the distinct ones).

The product of its digits is 131712, while the sum is 45.

The square root of 7118713728 is about 84372.4702020748. The cubic root of 7118713728 is about 1923.6844874316.

The spelling of 7118713728 in words is "seven billion, one hundred eighteen million, seven hundred thirteen thousand, seven hundred twenty-eight".