75746544768 has 384 divisors, whose sum is σ = 247112087040. Its totient is φ = 22992076800.

The previous prime is 75746544767. The next prime is 75746544787. The reversal of 75746544768 is 86744564757.

75746544768 is a `hidden beast` number, since 7 + 5 + 74 + 65 + 447 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (75746544767) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16389498 + ... + 16394118.

It is an arithmetic number, because the mean of its divisors is an integer number (643521060).

Almost surely, 2^75746544768 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 75746544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123556043520).

75746544768 is an abundant number, since it is smaller than the sum of its proper divisors (171365542272).

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

75746544768 is a wasteful number, since it uses less digits than its factorization.

75746544768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4674 counting only the distinct ones).

The product of its digits is 158054400, while the sum is 63.

The spelling of 75746544768 in words is "seventy-five billion, seven hundred forty-six million, five hundred forty-four thousand, seven hundred sixty-eight".