73006417137164 has 24 divisors (see below), whose sum is σ = 146047344753408. Its totient is φ = 31281069384720.

The previous prime is 73006417137133. The next prime is 73006417137167. The reversal of 73006417137164 is 46173171460037.

It is not an unprimeable number, because it can be changed into a prime (73006417137167) 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, 308008694 + ... + 308245629.

It is an arithmetic number, because the mean of its divisors is an integer number (6085306031392).

Almost surely, 2^{73006417137164} is an apocalyptic number.

It is an amenable number.

73006417137164 is an abundant number, since it is smaller than the sum of its proper divisors (73040927616244).

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

73006417137164 is a wasteful number, since it uses less digits than its factorization.

73006417137164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616258565 (or 616258563 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 50.

The spelling of 73006417137164 in words is "seventy-three trillion, six billion, four hundred seventeen million, one hundred thirty-seven thousand, one hundred sixty-four".