7634506089721 has 135 divisors (see below), whose sum is σ = 9868379582607. Its totient is φ = 5904550834560.

The previous prime is 7634506089719. The next prime is 7634506089739. The reversal of 7634506089721 is 1279806054367.

The square root of 7634506089721 is 2763061.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5943819620025 + 1690686469696 = 2437995^2 + 1300264^2 .

It is not a de Polignac number, because 7634506089721 - 2¹ = 7634506089719 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7634506089701) 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 134 ways as a sum of consecutive naturals, for example, 71350524150 + ... + 71350524256.

It is a 1-persistent number, because it is pandigital, but 2⋅7634506089721 = 15269012179442 is not.

Almost surely, 2^{7634506089721} is an apocalyptic number.

7634506089721 is the 2763061-st square number.

7634506089721 is the 1381531-st centered octagonal number.

It is an amenable number.

7634506089721 is a deficient number, since it is larger than the sum of its proper divisors (2233873492886).

7634506089721 is an frugal number, since it uses more digits than its factorization.

7634506089721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 7634506089721 in words is "seven trillion, six hundred thirty-four billion, five hundred six million, eighty-nine thousand, seven hundred twenty-one".