73825204997568 has 672 divisors, whose sum is σ = 217954675169280. Its totient is φ = 21972307968000.

The previous prime is 73825204997567. The next prime is 73825204997587. The reversal of 73825204997568 is 86579940252837.

It is a self number, because there is not a number n which added to its sum of digits gives 73825204997568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73825204997561) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 37417741030 + ... + 37417743002.

It is an arithmetic number, because the mean of its divisors is an integer number (324337314240).

Almost surely, 2^{73825204997568} 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 73825204997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108977337584640).

73825204997568 is an abundant number, since it is smaller than the sum of its proper divisors (144129470171712).

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

73825204997568 is a wasteful number, since it uses less digits than its factorization.

73825204997568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 75.

The spelling of 73825204997568 in words is "seventy-three trillion, eight hundred twenty-five billion, two hundred four million, nine hundred ninety-seven thousand, five hundred sixty-eight".