73007633307663 has 12 divisors (see below), whose sum is σ = 105471207694008. Its totient is φ = 48664492141200.

The previous prime is 73007633307649. The next prime is 73007633307701. The reversal of 73007633307663 is 36670333670037.

It is not a de Polignac number, because 73007633307663 - 2⁶ = 73007633307599 is a prime.

It is a super-2 number, since 2×73007633307663² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73007633707663) 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 11 ways as a sum of consecutive naturals, for example, 605219445 + ... + 605340062.

It is an arithmetic number, because the mean of its divisors is an integer number (8789267307834).

Almost surely, 2^{73007633307663} is an apocalyptic number.

73007633307663 is a deficient number, since it is larger than the sum of its proper divisors (32463574386345).

73007633307663 is a wasteful number, since it uses less digits than its factorization.

73007633307663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210566214 (or 1210566211 counting only the distinct ones).

The product of its (nonzero) digits is 18003384, while the sum is 54.

The spelling of 73007633307663 in words is "seventy-three trillion, seven billion, six hundred thirty-three million, three hundred seven thousand, six hundred sixty-three".