7116416000 has 176 divisors, whose sum is σ = 18106124400. Its totient is φ = 2790195200.

The previous prime is 7116415997. The next prime is 7116416011. The reversal of 7116416000 is 6146117.

It can be written as a sum of positive squares in 8 ways, for example, as 447407104 + 6669008896 = 21152^2 + 81664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6783476 + ... + 6784524.

Almost surely, 2^7116416000 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 7116416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9053062200).

7116416000 is an abundant number, since it is smaller than the sum of its proper divisors (10989708400).

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

7116416000 is a wasteful number, since it uses less digits than its factorization.

7116416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 7116416000 is about 84358.8525289433. The cubic root of 7116416000 is about 1923.4774940745.

The spelling of 7116416000 in words is "seven billion, one hundred sixteen million, four hundred sixteen thousand".