7635089641 has 9 divisors (see below), whose sum is σ = 7771939063. Its totient is φ = 7500613360.

The previous prime is 7635089633. The next prime is 7635089663. The reversal of 7635089641 is 1469805367.

The square root of 7635089641 is 87379.

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., 3268523241 + 4366566400 = 57171^2 + 66080^2 .

It is not a de Polignac number, because 7635089641 - 2³ = 7635089633 is a prime.

It is a super-2 number, since 2×7635089641² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7635089621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5154621 + ... + 5156101.

Almost surely, 2^7635089641 is an apocalyptic number.

7635089641 is the 87379-th square number.

7635089641 is the 43690-th centered octagonal number.

It is an amenable number.

7635089641 is a deficient number, since it is larger than the sum of its proper divisors (136849422).

7635089641 is an frugal number, since it uses more digits than its factorization.

7635089641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The cubic root of 7635089641 is about 1969.1163584933.

Multiplying 7635089641 by its sum of digits (49), we get a square (374119392409 = 611653²).

The spelling of 7635089641 in words is "seven billion, six hundred thirty-five million, eighty-nine thousand, six hundred forty-one".