75028331568 has 160 divisors (see below), whose sum is σ = 199001405952. Its totient is φ = 24353280000.

The previous prime is 75028331561. The next prime is 75028331597. The reversal of 75028331568 is 86513382057.

It is a Cunningham number, because it is equal to 273913²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (75028331561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82720971 + ... + 82721877.

Almost surely, 2^75028331568 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 75028331568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99500702976).

75028331568 is an abundant number, since it is smaller than the sum of its proper divisors (123973074384).

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

75028331568 is a wasteful number, since it uses less digits than its factorization.

75028331568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 75028331568 in words is "seventy-five billion, twenty-eight million, three hundred thirty-one thousand, five hundred sixty-eight".