75668541696 has 324 divisors, whose sum is σ = 252853093584. Its totient is φ = 21578956800.

The previous prime is 75668541671. The next prime is 75668541709. The reversal of 75668541696 is 69614586657.

75668541696 is a `hidden beast` number, since 7 + 56 + 6 + 85 + 416 + 96 = 666.

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 35 ways as a sum of consecutive naturals, for example, 7319251 + ... + 7329581.

Almost surely, 2^75668541696 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 75668541696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126426546792).

75668541696 is an abundant number, since it is smaller than the sum of its proper divisors (177184551888).

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

75668541696 is a wasteful number, since it uses less digits than its factorization.

75668541696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10398 (or 10364 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 75668541696 in words is "seventy-five billion, six hundred sixty-eight million, five hundred forty-one thousand, six hundred ninety-six".