73305626401 has 16 divisors (see below), whose sum is σ = 84132411264. Its totient is φ = 62568025344.

The previous prime is 73305626393. The next prime is 73305626417. The reversal of 73305626401 is 10462650337.

It is a cyclic number.

It is not a de Polignac number, because 73305626401 - 2³ = 73305626393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73305621401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1625706 + ... + 1670188.

It is an arithmetic number, because the mean of its divisors is an integer number (5258275704).

Almost surely, 2^73305626401 is an apocalyptic number.

It is an amenable number.

73305626401 is a deficient number, since it is larger than the sum of its proper divisors (10826784863).

73305626401 is a wasteful number, since it uses less digits than its factorization.

73305626401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45480.

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 73305626401 in words is "seventy-three billion, three hundred five million, six hundred twenty-six thousand, four hundred one".