7634354306241 has 64 divisors (see below), whose sum is σ = 11814576157440. Its totient is φ = 4342762045440.

The previous prime is 7634354306237. The next prime is 7634354306291. The reversal of 7634354306241 is 1426034534367.

It is a happy number.

It is not a de Polignac number, because 7634354306241 - 2² = 7634354306237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7634354306221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42665601 + ... + 42844161.

It is an arithmetic number, because the mean of its divisors is an integer number (184602752460).

Almost surely, 2^{7634354306241} is an apocalyptic number.

It is an amenable number.

7634354306241 is a deficient number, since it is larger than the sum of its proper divisors (4180221851199).

7634354306241 is a wasteful number, since it uses less digits than its factorization.

7634354306241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179746.

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 7634354306241 in words is "seven trillion, six hundred thirty-four billion, three hundred fifty-four million, three hundred six thousand, two hundred forty-one".