7116349968 has 240 divisors, whose sum is σ = 25014371200. Its totient is φ = 1876670208.

The previous prime is 7116349967. The next prime is 7116349969. The reversal of 7116349968 is 8699436117.

It is an interprime number because it is at equal distance from previous prime (7116349967) and next prime (7116349969).

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

It is not an unprimeable number, because it can be changed into a prime (7116349967) 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, 636555 + ... + 647637.

Almost surely, 2^7116349968 is an apocalyptic number.

7116349968 is a gapful number since it is divisible by the number (78) 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 7116349968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507185600).

7116349968 is an abundant number, since it is smaller than the sum of its proper divisors (17898021232).

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

7116349968 is a wasteful number, since it uses less digits than its factorization.

7116349968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11131 (or 11108 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 7116349968 is about 84358.4611523942. The cubic root of 7116349968 is about 1923.4715448504.

The spelling of 7116349968 in words is "seven billion, one hundred sixteen million, three hundred forty-nine thousand, nine hundred sixty-eight".