7675116160000 has 165 divisors, whose sum is σ = 19177822187931. Its totient is φ = 3069159936000.

The previous prime is 7675116159983. The next prime is 7675116160037. The reversal of 7675116160000 is 616115767.

The square root of 7675116160000 is 2770400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 601729106944 + 7073387053056 = 775712^2 + 2659584^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2216318269 + ... + 2216321731.

Almost surely, 2^{7675116160000} is an apocalyptic number.

7675116160000 is the 2770400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7675116160000

7675116160000 is an abundant number, since it is smaller than the sum of its proper divisors (11502706027931).

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

7675116160000 is an frugal number, since it uses more digits than its factorization.

7675116160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 7675116160000 in words is "seven trillion, six hundred seventy-five billion, one hundred sixteen million, one hundred sixty thousand".