727521641610401 has 16 divisors (see below), whose sum is σ = 794898861071616. Its totient is φ = 660351575520000.

The previous prime is 727521641610389. The next prime is 727521641610409. The reversal of 727521641610401 is 104016146125727.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-727521641610401 is a prime.

It is a super-2 number, since 2×727521641610401² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (727521641610409) 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, 4857671 + ... + 38453091.

It is an arithmetic number, because the mean of its divisors is an integer number (49681178816976).

Almost surely, 2^{727521641610401} is an apocalyptic number.

It is an amenable number.

727521641610401 is a deficient number, since it is larger than the sum of its proper divisors (67377219461215).

727521641610401 is a wasteful number, since it uses less digits than its factorization.

727521641610401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33598504.

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 727521641610401 in words is "seven hundred twenty-seven trillion, five hundred twenty-one billion, six hundred forty-one million, six hundred ten thousand, four hundred one".