7433715961 has 27 divisors (see below), whose sum is σ = 8805363021. Its totient is φ = 6257430144.

The previous prime is 7433715937. The next prime is 7433715973. The reversal of 7433715961 is 1695173347.

The square root of 7433715961 is 86219.

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 1405125225 + 6028590736 = 37485^2 + 77644^2 .

It is not a de Polignac number, because 7433715961 - 2⁹ = 7433715449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7433715901) 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 26 ways as a sum of consecutive naturals, for example, 65785041 + ... + 65785153.

Almost surely, 2^7433715961 is an apocalyptic number.

7433715961 is the 86219-th square number.

7433715961 is the 43110-th centered octagonal number.

It is an amenable number.

7433715961 is a deficient number, since it is larger than the sum of its proper divisors (1371647060).

7433715961 is an equidigital number, since it uses as much as digits as its factorization.

7433715961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its digits is 476280, while the sum is 46.

The cubic root of 7433715961 is about 1951.6502323380.

The spelling of 7433715961 in words is "seven billion, four hundred thirty-three million, seven hundred fifteen thousand, nine hundred sixty-one".