75140081568 has 240 divisors, whose sum is σ = 225448090560. Its totient is φ = 24545203200.

The previous prime is 75140081509. The next prime is 75140081593. The reversal of 75140081568 is 86518004157.

75140081568 is a `hidden beast` number, since 7 + 5 + 1 + 4 + 0 + 0 + 81 + 568 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32940588 + ... + 32942868.

It is an arithmetic number, because the mean of its divisors is an integer number (939367044).

Almost surely, 2^75140081568 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 75140081568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112724045280).

75140081568 is an abundant number, since it is smaller than the sum of its proper divisors (150308008992).

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

75140081568 is a wasteful number, since it uses less digits than its factorization.

75140081568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 75140081568 in words is "seventy-five billion, one hundred forty million, eighty-one thousand, five hundred sixty-eight".