73530039610368 has 704 divisors, whose sum is σ = 241018116364800. Its totient is φ = 21959430635520.

The previous prime is 73530039610327. The next prime is 73530039610369. The reversal of 73530039610368 is 86301693003537.

73530039610368 is a `hidden beast` number, since 7 + 3 + 530 + 0 + 3 + 96 + 10 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×73530039610368² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (73530039610369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6151591080 + ... + 6151603032.

Almost surely, 2^{73530039610368} 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 73530039610368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120509058182400).

73530039610368 is an abundant number, since it is smaller than the sum of its proper divisors (167488076754432).

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

73530039610368 is a wasteful number, since it uses less digits than its factorization.

73530039610368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12285 (or 12261 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 73530039610368 in words is "seventy-three trillion, five hundred thirty billion, thirty-nine million, six hundred ten thousand, three hundred sixty-eight".