73766873825 has 48 divisors (see below), whose sum is σ = 95124197376. Its totient is φ = 56686694400.

The previous prime is 73766873819. The next prime is 73766873837. The reversal of 73766873825 is 52837866737.

It is not a de Polignac number, because 73766873825 - 2³⁴ = 56587004641 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109608689 + ... + 109609361.

It is an arithmetic number, because the mean of its divisors is an integer number (1981754112).

Almost surely, 2^73766873825 is an apocalyptic number.

73766873825 is the 156809-th octagonal number.

It is an amenable number.

73766873825 is a deficient number, since it is larger than the sum of its proper divisors (21357323551).

73766873825 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (73766873824) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1549).

73766873825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1549 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 62.

The spelling of 73766873825 in words is "seventy-three billion, seven hundred sixty-six million, eight hundred seventy-three thousand, eight hundred twenty-five".