5075375760 has 960 divisors, whose sum is σ = 23051857920. Its totient is φ = 1007769600.

The previous prime is 5075375737. The next prime is 5075375801. The reversal of 5075375760 is 675735705.

5075375760 is a `hidden beast` number, since 5 + 0 + 7 + 537 + 57 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33611685 + ... + 33611835.

It is an arithmetic number, because the mean of its divisors is an integer number (24012352).

Almost surely, 2^5075375760 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 5075375760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11525928960).

5075375760 is an abundant number, since it is smaller than the sum of its proper divisors (17976482160).

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

5075375760 is a wasteful number, since it uses less digits than its factorization.

5075375760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 771750, while the sum is 45.

The square root of 5075375760 is about 71241.6715132373. The cubic root of 5075375760 is about 1718.5258416471.

The spelling of 5075375760 in words is "five billion, seventy-five million, three hundred seventy-five thousand, seven hundred sixty".