7485840960 has 224 divisors, whose sum is σ = 25835335680. Its totient is φ = 1825431552.

The previous prime is 7485840953. The next prime is 7485841001. The reversal of 7485840960 is 690485847.

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, 1357569 + ... + 1363071.

It is an arithmetic number, because the mean of its divisors is an integer number (115336320).

Almost surely, 2^7485840960 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 7485840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12917667840).

7485840960 is an abundant number, since it is smaller than the sum of its proper divisors (18349494720).

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

7485840960 is a wasteful number, since it uses less digits than its factorization.

7485840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 7485840960 is about 86520.7545043384. The cubic root of 7485840960 is about 1956.2012497795.

The spelling of 7485840960 in words is "seven billion, four hundred eighty-five million, eight hundred forty thousand, nine hundred sixty".