7547960641 has 27 divisors (see below), whose sum is σ = 8429155497. Its totient is φ = 6755711040.

The previous prime is 7547960597. The next prime is 7547960659. The reversal of 7547960641 is 1460697457.

The square root of 7547960641 is 86879.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5027519025 + 2520441616 = 70905^2 + 50204^2 .

It is not a de Polignac number, because 7547960641 - 2⁹ = 7547960129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7547960671) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46306426 + ... + 46306588.

Almost surely, 2^7547960641 is an apocalyptic number.

7547960641 is the 86879-th square number.

7547960641 is the 43440-th centered octagonal number.

It is an amenable number.

7547960641 is a deficient number, since it is larger than the sum of its proper divisors (881194856).

7547960641 is an equidigital number, since it uses as much as digits as its factorization.

7547960641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The cubic root of 7547960641 is about 1961.5973928519.

Multiplying 7547960641 by its sum of digits (49), we get a square (369850071409 = 608153²).

The spelling of 7547960641 in words is "seven billion, five hundred forty-seven million, nine hundred sixty thousand, six hundred forty-one".