73628804567 has 8 divisors (see below), whose sum is σ = 80066936016. Its totient is φ = 67424787072.

The previous prime is 73628804551. The next prime is 73628804581. The reversal of 73628804567 is 76540882637.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73628804567 - 2⁴ = 73628804551 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73628804507) 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 7 ways as a sum of consecutive naturals, for example, 58527833 + ... + 58529090.

It is an arithmetic number, because the mean of its divisors is an integer number (10008367002).

Almost surely, 2^73628804567 is an apocalyptic number.

73628804567 is a deficient number, since it is larger than the sum of its proper divisors (6438131449).

73628804567 is a wasteful number, since it uses less digits than its factorization.

73628804567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117056977.

The product of its (nonzero) digits is 13547520, while the sum is 56.

The spelling of 73628804567 in words is "seventy-three billion, six hundred twenty-eight million, eight hundred four thousand, five hundred sixty-seven".