75197663330496 has 224 divisors, whose sum is σ = 228693423882240. Its totient is φ = 21361307710464.

The previous prime is 75197663330483. The next prime is 75197663330519. The reversal of 75197663330496 is 69403336679157.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 75197663330496.

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 31 ways as a sum of consecutive naturals, for example, 1575027201 + ... + 1575074943.

Almost surely, 2^{75197663330496} 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 75197663330496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114346711941120).

75197663330496 is an abundant number, since it is smaller than the sum of its proper divisors (153495760551744).

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

75197663330496 is a wasteful number, since it uses less digits than its factorization.

75197663330496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54491 (or 54481 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 69.

The spelling of 75197663330496 in words is "seventy-five trillion, one hundred ninety-seven billion, six hundred sixty-three million, three hundred thirty thousand, four hundred ninety-six".