7485116160 has 288 divisors, whose sum is σ = 24874924032. Its totient is φ = 1916190720.

The previous prime is 7485116153. The next prime is 7485116189. The reversal of 7485116160 is 616115847.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27021942 + ... + 27022218.

It is an arithmetic number, because the mean of its divisors is an integer number (86371264).

Almost surely, 2^7485116160 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 7485116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12437462016).

7485116160 is an abundant number, since it is smaller than the sum of its proper divisors (17389807872).

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

7485116160 is a wasteful number, since it uses less digits than its factorization.

7485116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 7485116160 is about 86516.5658125656. The cubic root of 7485116160 is about 1956.1381127881.

The spelling of 7485116160 in words is "seven billion, four hundred eighty-five million, one hundred sixteen thousand, one hundred sixty".