75038376960 has 528 divisors, whose sum is σ = 271246987440. Its totient is φ = 19157483520.

The previous prime is 75038376913. The next prime is 75038377003. The reversal of 75038376960 is 6967383057.

75038376960 is a `hidden beast` number, since 7 + 503 + 8 + 3 + 76 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 548683776 + 74489693184 = 23424^2 + 272928^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75038376897 and 75038376906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311362440 + ... + 311362680.

It is an arithmetic number, because the mean of its divisors is an integer number (513725355).

Almost surely, 2^75038376960 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 75038376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135623493720).

75038376960 is an abundant number, since it is smaller than the sum of its proper divisors (196208610480).

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

75038376960 is a wasteful number, since it uses less digits than its factorization.

75038376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 75038376960 in words is "seventy-five billion, thirty-eight million, three hundred seventy-six thousand, nine hundred sixty".