75126456960 has 256 divisors, whose sum is σ = 245083968000. Its totient is φ = 19567149056.

The previous prime is 75126456953. The next prime is 75126456989. The reversal of 75126456960 is 6965462157.

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, 24319096 + ... + 24322184.

It is an arithmetic number, because the mean of its divisors is an integer number (957359250).

Almost surely, 2^75126456960 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 75126456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122541984000).

75126456960 is an abundant number, since it is smaller than the sum of its proper divisors (169957511040).

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

75126456960 is a wasteful number, since it uses less digits than its factorization.

75126456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 75126456960 in words is "seventy-five billion, one hundred twenty-six million, four hundred fifty-six thousand, nine hundred sixty".