75128008560640 has 832 divisors, whose sum is σ = 211885721118720. Its totient is φ = 25042133975040.

The previous prime is 75128008560637. The next prime is 75128008560677. The reversal of 75128008560640 is 4606580082157.

It is a happy number.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277225123705 + ... + 277225123975.

Almost surely, 2^{75128008560640} is an apocalyptic number.

75128008560640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75128008560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105942860559360).

75128008560640 is an abundant number, since it is smaller than the sum of its proper divisors (136757712558080).

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

75128008560640 is a wasteful number, since it uses less digits than its factorization.

75128008560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The spelling of 75128008560640 in words is "seventy-five trillion, one hundred twenty-eight billion, eight million, five hundred sixty thousand, six hundred forty".