73536755763537 has 96 divisors (see below), whose sum is σ = 123005919568896. Its totient is φ = 41910046963200.

The previous prime is 73536755763511. The next prime is 73536755763539.

It is a happy number.

73536755763537 is a `hidden beast` number, since 7 + 3 + 5 + 3 + 6 + 7 + 557 + 6 + 35 + 37 = 666.

73536755763537 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 73536755763537 - 2¹⁴ = 73536755747153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73536755763539) 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, 87357583 + ... + 88195355.

It is an arithmetic number, because the mean of its divisors is an integer number (1281311662176).

Almost surely, 2^{73536755763537} is an apocalyptic number.

It is an amenable number.

73536755763537 is a deficient number, since it is larger than the sum of its proper divisors (49469163805359).

73536755763537 is a wasteful number, since it uses less digits than its factorization.

73536755763537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838631 (or 838628 counting only the distinct ones).

The product of its digits is 4375822500, while the sum is 72.

The spelling of 73536755763537 in words is "seventy-three trillion, five hundred thirty-six billion, seven hundred fifty-five million, seven hundred sixty-three thousand, five hundred thirty-seven".