73076635480200 has 288 divisors, whose sum is σ = 249482169931680. Its totient is φ = 17681535872000.

The previous prime is 73076635480169. The next prime is 73076635480201. The reversal of 73076635480200 is 208453667037.

It is not an unprimeable number, because it can be changed into a prime (73076635480201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36858607 + ... + 38790593.

It is an arithmetic number, because the mean of its divisors is an integer number (866257534485).

Almost surely, 2^{73076635480200} 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 73076635480200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124741084965840).

73076635480200 is an abundant number, since it is smaller than the sum of its proper divisors (176405534451480).

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

73076635480200 is a wasteful number, since it uses less digits than its factorization.

73076635480200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932549 (or 1932529 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 73076635480200 in words is "seventy-three trillion, seventy-six billion, six hundred thirty-five million, four hundred eighty thousand, two hundred".